Publications

Publications of the SFB Transregio 109

Papers 2018
Algebraic Stability of Zigzag Persistence Modules

Authors: Botnan, Magnus Bakke and Lesnick, Michael
Journal: Algebraic & Geometric Topology
Date: Dec 2018
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One-Bit Unlimited Sampling

Authors: Graf, Olga and Bhandari, Ayush and Krahmer, Felix
Journal: preprint
Date: Nov 2018
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The Shape Space of Discrete Orthogonal Geodesic Nets

Authors: Rabinovich, Michael and Hoffmann, Tim and Sorkine-Hornung, Olga
Journal: ACM Trans. Graph., Vol. 37, No. 6, Article 228
Date: Nov 2018
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Additive structures on f-vector sets of polytopes

Author: Ziegler, Günter M.
Journal: Advances in Geometry
Note: Published online
Date: Oct 2018
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Convergence of discrete and continuous unilateral flows for Ambrosio-Tortorelli energies and application to mechanics

Authors: Negri, Matteo and Almi, Stefano and Belz, Sandro
Journal: ESAIM: Mathematical Modelling and Numerical Analysis
Date: Sep 2018
DOI: 10.1051/m2an/2018057
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Convergence of discrete period matrices and discrete holomorphic integrals for ramified coverings of the Riemann sphere

Authors: Bobenko, Alexander I and Bücking, Ulrike
Journal: Preprint at arXiv
Date: Sep 2018
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From statistical polymer physics to nonlinear elasticity

Authors: Cicalese, Marco and Gloria, Antoine and Ruf, Matthias
Journal: preprint
Date: Sep 2018
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A unified discrete framework for intrinsic and extrinsic Dirac operators for geometry processing

Authors: Ye, Zi and Diamanti, Olga and Tang, Chengcheng and Guibas, Leonidas and Hoffmann, Tim
Journal: Computer Graphics Forum, Volume 37, Issue 5, August 2018, Pages 93-106
Date: Aug 2018
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Bringing Together Dynamic Geometry Software and the Graphics Processing Unit

Authors: Montag, Aaron and Richter-Gebert, Jürgen
Journal: preprint
Date: Aug 2018
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Conformally symmetric triangular lattices and discrete θ-conformal maps

Author: Bücking, Ulrike
Journal: preprint
Date: Aug 2018
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Duck Traps: Two-dimensional Critical Manifolds in Planar Systems

Authors: Kuehn, Christian and Münch, Christian
Journal: preprint
Date: Aug 2018
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Energy release rate and stress intensity factors in planar elasticity in presence of smooth cracks

Authors: Almi, Stefano and Lucardesi, Ilaria
Journal: Nonlinear Differ. Equ. Appl. (2018) 25: 43.
Date: Aug 2018
DOI: 10.1007/s00030-018-0536-4
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Miquel Dynamics, Clifford Lattices and the Dimer Model

Author: Affolter, Niklas C
Journal: Preprint at arxiv
Date: Aug 2018
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One-Bit Sigma-Delta Modulation on a Closed Loop

Authors: Krause-Solberg, Sara and Graf, Olga and Krahmer, Felix
Journal: 2018 IEEE Statistical Signal Processing Workshop (SSP)
Date: Aug 2018
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A Variational Formulation of the BDF2 Method for Metric Gradient Flows

Authors: Matthes,, Daniel and Plazotta, Simon
Journal: ESAIM: M2AN, Forthcoming article
Date: Jul 2018
DOI: 10.1051/m2an/2018045
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On Recovery Guarantees for One-Bit Compressed Sensing on Manifolds

Authors: Iwen, Mark A. and Krahmer, Felix and Krause-Solberg, Sara and Maly, Johannes
Journal: preprint
Date: Jul 2018
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C∞-convergence of conformal mappings for conformally equivalent triangular lattices

Author: Bücking, Ulrike
Journal: Results in Mathematics, 73(2):84
Date: Jun 2018
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Discretized Fast-Slow Systems near Transcritical Singularities

Authors: Engel, Maximilian and Kuehn, Christian
Journal: preprint
Date: Jun 2018
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Computational Complexity of the Interleaving Distance

Authors: Bjerkevik, Havard Bakke and Botnan, Magnus Bakke
Journal: Proceedings of the 34th International Symposium on Computational Geometry (SoCG 2018)
Date: May 2018
DOI: 10.4230/LIPIcs.SoCG.2018.13
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Conditioned Lyapunov exponents for random dynamical systems

Authors: Engel, Maximilian and Lamb, Jeroen S.W. and Rasmussen, Martin
Journal: preprint
Date: May 2018
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Characterizing face and flag vector pairs for polytopes

Authors: Sjöberg, Hannah and Ziegler, Günter M.
Note: Preprint
Date: Mar 2018
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Continuum limit and stochastic homogenization of discrete ferromagnetic thin films

Authors: Braides, A. and Cicalese, M. and Ruf, M.
Journal: Analysis & PDE, (2018), vol. 11, no.2, 499-553.
Date: Mar 2018
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First Steps in Non-standard Projective Geometry

Author: Strobel, Michael
Journal: Preprint
Date: Mar 2018
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Gamma-convergence analysis of a generalized XY model: fractional vortices and string defects

Authors: Badal, R. and Cicalese, M. and Luca, L. De and Ponsiglione, M.
Journal: Commun. Math. Phys. 358 (2018), no. 2, 705–739
Date: Mar 2018
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Using persistent homology to reveal hidden covariates in systems governed by the kinetic Ising model

Authors: Spreemann, Gard and Dunn, Benjamin and Botnan, Magnus Bakke and Baas, Nils A.
Journal: Journal: Phys. Rev. E 97, 032313
Date: Mar 2018
DOI: 10.1103/PhysRevE.97.032313
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A discrete extrinsic and intrinsic Dirac operator

Authors: Hoffmann, Tim and Ye, Zi
Note: Preprint
Date: Feb 2018
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Discrete geodesic nets for modeling developable surfaces

Authors: Rabinovich, Michael and Hoffmann, Tim and Sorkine-Hornung, Olga
Journal: ACM Trans. Graph., 37(2):16:1-16:17
Date: Feb 2018
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Small f-vectors of 3-spheres and of 4-polytopes

Authors: Brinkmann, Philip and Ziegler, Günter M.
Journal: Mathematics of Computation
Date: Feb 2018
DOI: 10.1090/mcom/3300
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A BDF2-Approach for the Non-linear Fokker-Planck Equation

Author: Plazotta, Simon
Journal: preprint
Date: Jan 2018
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Algorithms for Tight Spans and Tropical Linear Spaces

Authors: Hampe, Simon and Joswig, Michael and Schröter, Benjamin
Journal: Journal of Symbolic Computation
Note: Proceedings of MEGA 2017
Date: 2018
DOI: 10.1016/j.jsc.2018.06.016
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Cambrian acyclic domains: counting c-singletons

Authors: Labbé, Jean-Philippe and Lange, Carsten
Note: Preprint
Date: 2018
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Canonical Möbius Subdivision

Authors: Amir Vaxman and Christian Müller and Ofir Weber
Journal: ACM Trans. Graphics (Proc. SIGGRAPH ASIA), 37
Date: 2018
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Checkerboard incircular nets. Laguerre geometry and parametrisation

Authors: Bobenko, Alexander I and Schief, Wolfgang K and Techter, Jan
Note: Preprint
Date: 2018
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Cluster partitions and fitness landscapes of the Drosophila fly microbiome

Authors: Eble, Holger and Joswig, Michael and Lamberti, Lisa and Ludington, Will
Note: Preprint arXiv 1809.02533
Date: 2018
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Commutativity in Lagrangian and Hamiltonian mechanics

Authors: Sridhar, Ananth and Suris, Yuri B
Note: Preprint
Date: 2018
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Hardness of Approximation for Morse Matching

Authors: Bauer, Ulrich and Rathod, Abhishek
Journal: preprint
Date: Jan 2018
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Incircular nets and confocal conics

Authors: Akopyan, Arseniy and Bobenko, Alexander
Journal: Transactions of the American Mathematical Society, 370(4):2825--2854
Date: 2018
DOI: 10.1090/tran/7292
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Log-barrier interior point methods are not strongly polynomial

Authors: Allamigeon, Xavier and Benchimol, Pascal and Gaubert, Stéphane and Joswig, Michael
Journal: SIAM J. Appl. Algebra Geom., 2(1):140-178
Date: 2018
DOI: 10.1137/17M1142132
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Multi-Nets. Classification of discrete and smooth surfaces with characteristic properties on arbitrary parameter rectangles

Authors: Bobenko, Alexander I and Pottmann, Helmut and Rörig, Thilo
Note: Preprint
Date: 2018
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Non-standard Analysis in Dynamic Geometry

Author: Strobel, Michael
Journal: Journal of Symbolic Computation: Special Issue on Dynamic Geometry and Automated Reasoning
Date: Jan 2018
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Optimal approximation of piecewise smooth functions using deep ReLU neural networks

Authors: Petersen, Philipp and Voigtlaender, Felix
Journal: Neural Networks, 108:296--330
Date: 2018
DOI: 10.1016/j.neunet.2018.08.019
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Parallel enumeration of triangulations

Authors: Jordan, Charles and Joswig, Michael and Kastner, Lars
Journal: Electron. J. Combin., 25(3):Paper 3.6, 27
Date: 2018
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Persistent Betti numbers of random Čech complexes

Authors: Bauer, Ulrich and Pausinger, Florian
Journal: preprint
Date: Jan 2018
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Polyhedral Tropical Geometry of Higher Rank

Authors: Joswig, Michael and Smith, Ben
Note: Preprint arXiv 1809.01457
Date: 2018
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Semi-automatically optimized calibration of internal combustion engines

Authors: Burggraf, Timo and Joswig, Michael and Pfetsch, Marc E. and Radons, Manuel and Ulbrich, Stefan
Note: Preprint arXiv 1806.10980
Date: 2018
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The degree of a tropical basis

Authors: Joswig, Michael and Schrüter, Benjamin
Journal: Proc. Amer. Math. Soc., 146(3):961-970
Date: 2018
DOI: 10.1090/proc/13787
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The Reeb Graph Edit Distance is Universal

Authors: Bauer, Ulrich and Landi, Claudia and Memoli, Facundo
Journal: preprint
Date: Jan 2018
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Webs of stars or how to triangulate free sums of point configurations

Authors: Assarf, Benjamin and Joswig, Michael and Pfeifle, Julian
Journal: J. Combin. Theory Ser. A, 159:183--214
Date: 2018
DOI: 10.1016/j.jcta.2018.05.007
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Papers 2017
A two-phase two-fluxes degenerate Cahn-Hilliard model as constrained Wasserstein gradient flow

Author: Clément Cancès, Daniel Matthes, Flore Nabet
Journal: preprint
Date: Dec 2017
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Convex equipartitions of colored point sets

Authors: Blagojević, Pavle V. M. and Rote, Günter and Steinmeyer, Johanna and Ziegler, Günter M.
Journal: Discrete Comput. Geometry
Note: Published online
Date: Dec 2017
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A Lagrangian Scheme for the Solution of Nonlinear Diffusion Equations Using Moving Simplex Meshes

Authors: José A. Carrillo, Bertram Düring, Daniel Matthes and McCormick, David S.
Journal: Journal of Scientific Computing, June 2018, Volume 75, Issue 3, pp 1463–1499
Date: Nov 2017
DOI: 10.1007/s10915-017-0594-5
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Semi-algebraic sets of f-vectors

Authors: Sjöberg, Hannah and Ziegler, Günter M.
Note: Preprint
Date: Nov 2017
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“What is Mathematics?” and why we should ask, where one should experience and learn that, and how to teach it

Authors: Ziegler, Günter M and Loos, Andreas
In Proceedings: Proceedings of the 13th International Congress on Mathematical Education
Date: Nov 2017
DOI: 10.1007/978-3-319-62597-3_5
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Cutting a part from many measures

Authors: Blagojević, Pavle V. M. and Palić, Nevena and Ziegler, Günter M.
Note: Preprint, 15 pages
Date: Oct 2017
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Discrete CMC surfaces in Rˆ3 and discrete minimal surfaces in Sˆ3: a discrete Lawson correspondence

Authors: Bobenko, Alexander I. and Romon, Pascal
Journal: Journal of Integrable Systems, 2(1)
Date: Oct 2017
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Hopf bifurcation with additive noise

Authors: Thai Son Doan, Maximilian Engel, Jeroen S.W. Lamb and Rasmussen, Martin
Journal: Nonlinearity 31 (2018), no. 10, 4567–4601
Date: Oct 2017
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Motion of discrete interfaces in low-contrast random environments

Author: Ruf, Matthias
Journal: ESAIM: COCV, Volume 24, Number 3, July–September 2018
Date: Oct 2017
DOI: 10.1051/cocv/2017067
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Persistence in sampled dynamical systems faster

Authors: Bauer, Ulrich and Edelsbrunner, Herbert and Jablonski, Grzegorz and Mrozek, Marian
Note: Preprint
Date: Sep 2017
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Area difference bounds for dissections of a square into an odd number of triangles

Authors: Labbé, Jean-Philippe and Rote, Günter and Ziegler, Günter M.
Note: Preprint
Date: Aug 2017
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Consistent Finite-Dimensional Approximation of Phase-Field Models of Fracture

Author: Stefano Almi, Sandro Belz
Journal: preprint
Date: Jul 2017
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Hyperbolic polyhedra and discrete uniformization

Author: Springborn, Boris
Journal: preprint
Date: Jul 2017
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Inside Fluids: Clebsch Maps for Visualization and Processing

Authors: Chern, Albert and Knöppel, Felix and Pinkall, Ulrich and​ ​Schröder, Peter
Journal: ACM Trans. Graph., 36(4):142:1--142:11
Date: Jul 2017
DOI: 10.1145/3072959.3073591
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Crystallization in two dimensions and a discrete Gauss-Bonnet theorem

Author: L. De Luca, G. Friesecke
Journal: J Nonlinear Sci 28, 69-90, 2017
Date: Jun 2017
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Hierarchical Vorticity Skeletons

Authors: Eberhardt, Sebastian and Weissmann, Steffen and Pinkall, Ulrich and Thuerey, Nils
Journal: Proceedings of the Symposium on Computer Animation (SCA '12), to appear:11
Date: Jun 2017
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On the sighting of unicorns: A variational approach to computing invariant sets in dynamical systems

Authors: Junge, Oliver and Kevrekidis, Ioannis G
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science, Nr. 6, Volume 27
Date: Jun 2017
DOI: 10.1063/1.4983468
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Beyond the Borsuk-Ulam Theorem: The Topological Tverberg Story

Authors: Blagojević, Pavle V. M. and Ziegler, Günter M.
In Collection: Journey Through Discrete Mathematics. A Tribute to Jiří Matoušek, Springer
Date: May 2017
DOI: 10.1007/978-3-319-44479-6_11
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Classification of Particle Numbers with Unique Heitmann-Radin Minimizer

Author: L. De Luca, G. Friesecke
Journal: J. Stat. Phys. 167, Issue 6, 1586–1592, 2017
Date: Apr 2017
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Convergent Lagrangian Discretization for Drift-Diffusion with Nonlocal Aggregation

Authors: Matthes, Daniel and Söllner, Benjamin
Journal: Innovative Algorithms and Analysis pp 313-351
Date: Mar 2017
DOI: 10.1007/978-3-319-49262-9_12
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Smooth polyhedral surfaces

Authors: Günther, Felix and Jiang, Caigui and Pottmann, Helmut
Journal: preprint
Date: Mar 2017
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Interfaces, modulated phases and textures in lattice systems

Authors: Braides, A. and Cicalese, M.
Journal: Arch. Rat. Mech. Anal., 223, (2017), 977-1017
Date: Feb 2017
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Supercyclidic nets

Authors: Bobenko, Alexander I and Huhnen-Venedey, Emanuel and Rörig, Thilo
Journal: International Mathematics Research Notices, 2017(2):323--371
Date: Feb 2017
DOI: 10.1093/imrn/rnv328
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A construction of a large family of commuting pairs of integrable symplectic birational four-dimensional maps

Authors: Petrera, Matteo and Suris, Yuri B
Journal: Proceedings of the Royal Society of London A: Mathematical, 473(2198)
Date: 2017
DOI: 10.1098/rspa.2016.0535
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A flag vector of a 3-sphere that is not the flag vector of a 4-polytope

Authors: Brinkmann, Philip and Ziegler, Günter M
Journal: Mathematika, 63(1):260--271
Date: 2017
DOI: 10.1112/S0025579316000267
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A Fully Discrete Variational Scheme for Solving Nonlinear Fokker--Planck Equations in Multiple Space Dimensions

Authors: Oliver Junge, Daniel Matthes and Osberger, Horst
Journal: SIAM Journal on Numerical Analysis, Vol. 55, Nr. 1, pp.419-443
Date: 2017
DOI: 10.1137/16M1056560
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Abelian Higgs vortices and discrete conformal maps

Authors: Bobenko, Alexander I and Sridhar, Ananth
Journal: Letters in Mathematical Physics, 108(2):249–260
Date: 2017
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Approximation properties of shearlet frames for Sobolev spaces

Authors: Petersen, Philipp and Raslan, Mones
Note: preprint
Date: 2017
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Bendlets: A second-order shearlet transform with bent elements

Authors: Lessig, Christian and Petersen, Philipp and Schäfer, Martin
Journal: Applied and Computational Harmonic Analysis
Date: 2017
DOI: 10.1016/j.acha.2017.06.002
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Colorful simplicial depth, Minkowski sums, and generalized Gale transforms

Authors: Adiprasito, Karim and Brinkmann, Philip and Padrol, Arnau and Paták, Pavel and Patáková, Zuzana and Sanyal, Raman
Journal: International Mathematics Research Notices
Date: 2017
DOI: 10.1093/imrn/rnx184
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Combinatorial mixed valuations

Authors: Jochemko, Katharina and Sanyal, Raman
Journal: Advances in Mathematics, 319:630--652
Date: 2017
DOI: 10.1016/j.aim.2017.08.032
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Computing convex hulls and counting integer points with \polymake

Authors: Assarf, Benjamin and Gawrilow, Ewgenij and Herr, Katrin and Joswig, Michael and Lorenz, Benjamin and Paffenholz, Andreas and Rehn, Thomas
Journal: Math. Program. Comput., 9(1):1-38
Date: 2017
DOI: 10.1007/s12532-016-0104-z
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Discrete minimal surfaces of Koebe type

Author: A.I. Bobenko, U. Bücking, S. Sechelmann
In Collection: Modern Approaches to Discrete Curvatur, Springer
Date: 2017

Discrete Riemann surfaces based on quadrilateral cellular decompositions

Authors: Bobenko, Alexander I and Günther, Felix
Journal: Advances in Mathematics, 311:885--932
Date: 2017
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Discrete Uniformization of Polyhedral Surfaces with Non-positive Curvature and Branched Covers over the Sphere via Hyper-ideal Circle Patterns

Authors: Bobenko, Alexander I and Dimitrov, Nikolay and Sechelmann, Stefan
Journal: Discrete & Computational Geometry, 57(2):431--469
Date: 2017
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Expected sizes of Poisson--Delaunay mosaics and their discrete Morse functions

Authors: Edelsbrunner, Herbert and Nikitenko, Anton and Reitzner, Matthias
Journal: Advances in Applied Probability, 49(3):745--767
Date: 2017
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Extension complexity and realization spaces of hypersimplices

Authors: Grande, Francesco and Padrol, Arnau and Sanyal, Raman
Journal: Discrete Comput Geom
Date: 2017
DOI: 10.1007/s00454-017-9925-4
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Finite Size Effects for Spacing Distributions in Random Matrix Theory: Circular Ensembles and Riemann Zeros

Authors: Bornemann, Folkmar and Forrester, Peter J. and Mays, Anthony
Journal: Studies in Applied Mathematics, 138(4):401--437
Date: 2017
DOI: 10.1111/sapm.12160
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Interval decomposition of infinite zigzag persistence modules

Author: Botnan, Magnus Bakke
Journal: Proc. Amer. Math. Soc. 145 (2017), 3571-3577
Date: Jan 2017
DOI: 10.1090/proc/13465
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Introduction to discrete complex analysis

Author: Bücking, U.
In Collection: Symmetries and Integrability of Difference Equations: Lecture Notes of the Abecederian of SIDE 12, Montréal 2016, Springer
Date: 2017

Lipschitz polytopes of posets and permutation statistics

Authors: Sanyal, Raman and Stump, Christian
Note: Preprint
Date: 2017
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Matroids from hypersimplex splits

Authors: Joswig, Michael and Schröter, Benjamin
Journal: Journal of Combinatorial Theory, Series A, 151:254--284
Date: 2017
DOI: 10.1016/j.jcta.2017.05.001
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Memory-optimal neural network approximation

Authors: Bölcskei, Helmut and Grohs, Philipp and Kutyniok, Gitta and Petersen, Philipp
In Proceedings: Wavelets and Sparsity XVII
Date: 2017
DOI: 10.1117/12.2272490
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Minkowski complexes and convex threshold dimension

Authors: Frick, Florian and Sanyal, Raman
Journal: Journal of Combinatorial Theory, Series A, 151:202--206
Date: 2017
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Mixed Ehrhart polynomials

Authors: Haase, Christian and Juhnke-Kubitzke, Martina and Sanyal, Raman and Theobald, Thorsten
Journal: Electron. J. Combin., 24(Issue 1):Paper #P1.10
Date: 2017
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Monomial tropical cones for multicriteria optimization

Authors: Joswig, Michael and Loho, Georg
Note: Preprint
Date: 2017
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New classes of quadratic vector fields admitting integral-preserving Kahan--Hirota--Kimura discretizations

Authors: Petrera, Matteo and Zander, René
Journal: Journal of Physics A: Mathematical and Theoretical, 50(20):205203
Date: 2017
DOI: 10.1088/1751-8121/aa6a0f
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On a discretization of confocal quadrics. II. A geometric approach to general parametrizations

Authors: Bobenko, Alexander I and Schief, Wolfgang K and Suris, Yuri B and Techter, Jan
Note: Preprint
Date: 2017
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On degree sequences of undirected, directed, and bidirected graphs

Authors: Gellert, Laura and Sanyal, Raman
Journal: European Journal of Combinatorics, 64:113--124
Date: 2017
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On f-and h-vectors of relative simplicial complexes

Authors: Codenotti, Giulia and Katth{\"a}n, Lukas and Sanyal, Raman
Note: Preprint
Date: 2017
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On the classification of multidimensionally consistent 3D maps

Authors: Petrera, Matteo and Suris, Yuri B
Journal: Letters in Mathematical Physics, 107(11):2013--2027
Date: 2017
DOI: 10.1007/s11005-017-0976-5
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On the construction of elliptic solutions of integrable birational maps

Authors: Petrera, Matteo and Pfadler, Andreas and Suris, Yuri B
Journal: Experimental Mathematics, 26(3):324--341
Date: 2017
DOI: 10.1080/10586458.2016.1166354
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Optimal Approximation with Sparsely Connected Deep Neural Networks

Authors: Bölcskei, Helmut and Grohs, Philipp and Kutyniok, Gitta and Petersen, Philipp
Note: preprint
Date: 2017
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Polynomial partitioning for several sets of varieties

Authors: Blagojević, Pavle V. M. and Blagojević, Aleksandra S. Dimitrijević and Ziegler, Günter M.
Journal: J. Fixed Point Theory Appl., 19:1653--1660
Date: 2017
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Quasiconformal Dilatation of Projective Transformations and Discrete Conformal Maps

Authors: Born, Stefan and Bücking, Ulrike and Springborn, Boris
Journal: Discrete & Computational Geometry, 57(2):305--317
Date: 2017
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Realizability and inscribability for simplicial polytopes via nonlinear optimization

Author: Firsching, Moritz
Journal: Mathematical Programming, 166(1-2):273--295
Date: 2017
DOI: 10.1007/s10107-017-1120-0
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Reflection groups, reflection arrangements, and invariant real varieties

Authors: Friedl, Tobias and Riener, Cordian and Sanyal, Raman
Journal: Proceedings of the American Mathematical Society
Date: 2017
DOI: 10.1090/proc/13821
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Regular meshes from polygonal patterns

Authors: Vaxman, Amir and Müller, Christian and Weber, Ofir
Journal: ACM Transactions on Graphics (TOG), 36(4):113
Date: 2017
DOI: 10.1145/3072959.3073593
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Semi-algebraic sets of f-vectors

Authors: Sjöberg, Hannah and Ziegler, Günter M
Note: Israel J. Math., to appear.
Date: 2017
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Simple polytopes without small separators

Authors: Loiskekoski, Lauri and Ziegler, Günter M
Journal: Israel Journal of Mathematics, 221(2):731--739
Date: 2017
DOI: 10.1007/s11856-017-1572-1
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Simple polytopes without small separators, II: Thurston's bound

Authors: Loiskekoski, Lauri and Ziegler, Günter M.
Note: Preprint, Israel J. Math., to appear
Date: 2017
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The Morse theory of Čech and Delaunay complexes

Authors: Bauer, Ulrich and Edelsbrunner, Herbert
Journal: Transactions of the American Mathematical Society, 369(5):3741--3762
Date: 2017
DOI: 10.1090/tran/6991
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Theta rank, levelness, and matroid minors

Authors: Grande, Francesco and Sanyal, Raman
Journal: J. Combin. Theory Ser. B, 123:1–31
Date: 2017
DOI: 10.1016/j.jctb.2016.11.002
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Tropical computations in polymake

Authors: Hampe, Simon and Joswig, Michael
In Collection: Algorithmic and experimental methods in algebra, geometry, and number theory, Springer, Cham
Date: 2017
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Tverberg-type theorems for matroids: A counterexample and a proof

Authors: Blagojević, Pavle V. M. and Haase, Albert and Ziegler, Günter M.
Note: Preprint
Date: 2017
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Two double poset polytopes

Authors: Chappell, Thomas and Friedl, Tobias and Sanyal, Raman
Journal: SIAM Journal on Discrete Mathematics, 31(4):2378--2413
Date: 2017
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Variational symmetries and pluri-Lagrangian systems in classical mechanics

Authors: Petrera, Matteo and Suris, Yuri B
Journal: Journal of Nonlinear Mathematical Physics, 24(sup1):121--145
Date: 2017
DOI: 10.1080/14029251.2017.1418058
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Papers 2016
High-frequency limit of non-autonomous gradient flows of functionals with time-periodic forcing

Authors: Plazotta, Simon and Zinsl, Jonathan
Journal: Journal of Differential Equations, Vol. 261, Issue 12, 15 December 2016, Pages 6806-6855
Date: Dec 2016
DOI: 10.1016/j.jde.2016.09.003
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Persistence Diagrams as Diagrams: A Categorification of the Stability Theorem

Authors: Bauer, Ulrich and Lesnick, Michael
Note: Preprint
Date: Nov 2016
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Crystalline Motion of Interfaces Between Patterns

Authors: A. Braides, M. Cicalese and Yip, N.K.
Journal: Journal of Statistical Physics October 2016, Volume 165, Issue 2, pp 274–319
Date: Oct 2016
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Chirality transitions in frustrated S2-valued spin systems

Authors: Cicalese, Marco and Ruf, Matthias and Solombrino, Francesco
Journal: Math. Models Methods Appl. Sci., 26, (2016), no. 8, 1481-1529
Date: Jul 2016
DOI: 10.1142/S0218202516500366
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CindyGL: Authoring GPU-Based Interactive Mathematical Content

Authors: Montag, Aaron and Richter-Gebert, Jürgen
Journal: ICMS 2016: Mathematical Software – ICMS 2016 pp 359-365
Date: Jul 2016
DOI: 10.1007/978-3-319-42432-3_44
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Schrödinger's Smoke

Authors: Chern, Albert and Knöppel, Felix and Pinkall, Ulrich and​ ​Schröder, Peter and Weißmann, Steffen
Journal: ACM Trans. Graph., 35:77:1--77:13
Date: Jul 2016
DOI: 10.1145/2897824.2925868
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Long-Time Behavior of a Finite Volume Discretization for a Fourth Order Diffusion Equation

Authors: Maas, Jan and Matthes, Daniel
Journal: Nonlinearity, Volume 29, Number 7
Date: Jun 2016
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Planar discrete isothermic nets of conical type

Author: Müller, Christian
Journal: Beiträge zur Algebra und Geometrie/Contributions to Algebra and Geometry, 57(2):459--482
Date: Jun 2016
DOI: 10.1007/s13366-015-0256-4
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The topological transversal Tverberg theorem plus constraints

Authors: Blagojević, Pavle V. M. and Blagojević, Aleksandra S. Dimitrijević and Ziegler, Günter M.
Note: Preprint, "Discrete and Intuitive Geometry -- László Fejes Tóth 100 Festschrift" (G. Ambrus, I. Bárány, K. J. Böröczky, G. Fejes Tóth, J. Pach, eds.), Bolyai Society Mathematical Studies series, to appear
Date: Mar 2016
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A construction of commuting systems of integrable symplectic birational maps

Authors: Petrera, Matteo and Suris, Yuri B
Note: Preprint
Date: 2016
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A construction of commuting systems of integrable symplectic birational maps. Lie-Poisson case

Authors: Petrera, Matteo and Suris, Yuri B
Note: Preprint
Date: 2016
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A note on the expansion of the smallest eigenvalue distribution of the LUE at the hard edge

Author: Bornemann, Folkmar
Journal: The Annals of Applied Probability, 26(3):1942--1946
Date: 2016
DOI: 10.1214/15-AAP1121
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A universality theorem for projectively unique polytopes and a conjecture of Shephard

Authors: Adiprasito, Karim and Padrol, Arnau
Journal: Israel J. Math., 211:239-255
Date: 2016
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A variational principle for cyclic polygons with prescribed edge lengths

Authors: Kourimska, H. and Skuppin, L. and Springborn, B.
In Collection: Advances in Discrete Differential Geometry, Springer
Note: Preprint at arxiv
Date: 2016
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Algebraic stability of zigzag persistence modules

Authors: Botnan, Magnus Bakke and Lesnick, Michael
Note: Preprint
Date: 2016
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Approximation of conformal mappings using confomally equivalent triangular lattices

Author: Bücking, U.
In Collection: Advances in Discrete Differential Geometry, Springer
Note: Preprint at arxiv
Date: 2016
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Billiards in confocal quadrics as a pluri-Lagrangian system

Author: Suris, Yuri B.
Journal: Theoretical and Applied Mechanics, 43(2):221--228
Date: 2016
DOI: 10.2298/TAM160304008S
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Circle complexes and the discrete CKP equation

Authors: Bobenko, Alexander I and Schief, Wolfgang K
Journal: International Mathematics Research Notices, 2017(5):1504--1561
Date: 2016
DOI: 10.1093/imrn/rnw021
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Complex Line Bundles over Simplicial Complexes and their Applications

Authors: Knöppel, F. and Pinkall, U.
In Collection: Advances in Discrete Differential Geometry, Springer
Date: 2016
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Computing coherent sets using the Fokker-Planck equation

Authors: Andres Denner, Oliver Junge and Matthes, Daniel
Journal: Journal of Computational Dynamics, 2016, Vol. 3, Issue 2
Date: 2016
DOI: 10.3934/jcd.2016008
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Constructing solutions to the Björling problem for isothermic surfaces by structure preserving discretization

Authors: Bücking, U. and Matthes, D.
In Collection: Advances in Discrete Differential Geometry, Springer
Note: Preprint at arxiv
Date: 2016
Download: arXiv

DGD Gallery: Storage, sharing, and publication of digital research data

Authors: Joswig, Michael and Mehner, Milan and Sechelmann, Stefan and Techter, Jan and Bobenko, Alexander I.
In Collection: Advances in Discrete Differential Geometry, Springer
Note: Preprint
Date: 2016
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Discrete complex analysis on planar quad-graphs

Authors: Bobenko, A. I. and Günther, F.
In Collection: Advances in Discrete Differential Geometry, Springer
Note: Preprint at arxiv
Date: 2016
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Discrete conformal maps: Boundary value problems, circle domains, Fuchsian and Schottky uniformization

Authors: Bobenko, A. I. and Sechelmann, S. and Springborn, B.
In Collection: Advances in Discrete Differential Geometry, Springer
Note: Preprint
Date: 2016
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Discrete Geometry for Reliable Surface Quad-Remeshing

Authors: Polthier, Konrad and Razafindrazaka, Faniry
In Collection: Applications + Practical Conceptualization + Mathematics = fruitful Innovation, Springer Japan
Date: 2016
DOI: 10.1007/978-4-431-55342-7_22
ISBN: 978-4-431-55341-0
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Holomorphic vector fields and quadratic differentials on planar triangular meshes

Authors: Lam, W. Y. and Pinkall, U.
In Collection: Advances in Discrete Differential Geometry, Springer
Date: 2016
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Hyperplane mass partitions via relative equivariant obstruction theory

Authors: Blagojević, Pavle V. M. and Frick, Florian and Haase, Albert and Ziegler, Günter M.
Journal: Documenta Mathematica, 21:735--771
Date: 2016
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Numerical Methods for the Discrete Map $Z^a$

Authors: Bornemann, F. and Its, A. and Olver, S. and Wechslberger, G.
In Collection: Advances in Discrete Differential Geometry, Springer
Date: 2016
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On a discretization of confocal quadrics. I. An integrable systems approach

Authors: Bobenko, Alexander I. and Schief, Wolfgang K. and Suris, Yuri B. and Techter, Jan
Journal: Journal of Integrable Systems, 1(1):xyw005
Date: 2016
DOI: 10.1093/integr/xyw005
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On the Lagrangian structure of integrable hierarchies

Authors: Suris, Yu. B. and Vermeeren, M.
In Collection: Advances in Discrete Differential Geometry, Springer
Date: 2016
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On the variational interpretation of the discrete KP equation

Authors: Boll, R. and Petrera, M. and Suris, Yu. B..
In Collection: Advances in Discrete Differential Geometry, Springer
Date: 2016
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Relative Stanley-Reisner theory and Upper Bound Theorems for Minkowski sums

Authors: Adiprasito, Karim and Sanyal, Raman
Journal: Publ. Math. Inst. Hautes Études Sci., 124:99–163
Date: 2016
DOI: 10.1007/s10240-016-0083-7
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Rigid multiview varieties

Authors: Joswig, Michael and Kileel, Joe and Sturmfels, Bernd and Wagner, André
Journal: International Journal of Algebra and Computation, 26(04):775--788
Date: 2016
DOI: 10.1142/S021819671650034X
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S-conical cmc surfaces. Towards a unified theory of discrete surfaces with constant mean curvature

Authors: Bobenko, A. I. and Hoffmann, T.
In Collection: Advances in Discrete Differential Geometry, Springer
Date: 2016
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Singular values and evenness symmetry in random matrix theory

Authors: Bornemann, Folkmar and Forrester, Peter J
In Proceedings: Forum Mathematicum
Date: 2016
DOI: 10.1515/forum-2015-0055
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Six topics on inscribable polytopes

Authors: Padrol, Arnau and Ziegler, Günter M
In Collection: Advances in Discrete Differential Geometry, Springer
Date: 2016
DOI: 10.1007/978-3-662-50447-5_13
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Tverberg’s theorem at 50: extensions and counterexamples

Authors: Bárány, Imre and Blagojević, Pavle V. M. and Ziegler, Günter M.
Journal: Notices of the AMS, 63(7):732--739
Date: 2016
DOI: 10.1090/noti1415
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Two-dimensional variational systems on the root lattice $Q(A_N)$

Author: Boll, R.
Note: preprint
Date: 2016
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Vertex normals and face curvatures of triangle meshes

Authors: Sun, Xian and Jiang, Caigui and Wallner, Johannes and Pottmann, Helmut
In Collection: Advances in Discrete Differential Geometry, Springer
Note: 20 pp., accepted
Date: 2016
Download: preprint

Weighted digraphs and tropical cones

Authors: Joswig, Michael and Loho, Georg
Journal: Linear Algebra and its Applications, 501:304--343
Date: 2016
DOI: 10.1016/j.laa.2016.02.027
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Whitney numbers of arrangements via measure concentration of intrinsic volumes

Authors: Adiprasito, Karim and Sanyal, Raman
Note: Preprint
Date: 2016
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„Was ist Mathematik" lernen und lehren

Authors: Loos, Andreas and Ziegler, Günter M
Journal: Mathematische Semesterberichte, 63(1):155--169
Date: 2016
DOI: 10.1007/s00591-016-0167-y
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Papers 2015
Optimal control of Bose-Einstein condensates in three dimensions

Authors: Mennemann, J-F and Matthes, D and Weishäupl, R-M and Langen, T
Journal: New Journal of Physics, 17(11):113027
Date: Nov 2015
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A 2x2 Lax representation, associated family, and Bäcklund transformation for circular K-nets

Authors: Hoffmann, T. and Sageman-Furnas, A. O.
Date: Oct 2015
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Generation of real algebraic loci via complex detours

Author: Kranich, Stefan
Note: preprint
Date: Oct 2015
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Homological reconstruction and simplification in $\mathbb R^3$

Authors: Attali, Dominique and Bauer, Ulrich and Devillers, Olivier and Glisse, Marc and Lieutier, André
Journal: Computational Geometry, 48(8):606--621
Date: Sep 2015
DOI: 10.1016/j.comgeo.2014.08.010
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Hyperplane mass partitions via relative Equivariant Obstruction Theory

Authors: Blagojevic, Pavle V. M. and Frick, Florian and Haase, Albert and Ziegler, Günter M.
Note: preprint
Date: Sep 2015
Download: arXiv

Realizability and inscribability for some simplicial spheres and matroid polytopes

Author: Firsching, Moritz
Note: Preprint
Date: Aug 2015
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Scribability Problems for Polytopes

Authors: Chen, Hao and Padrol, Arnau
Note: Preprint
Date: Aug 2015
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Shearlet approximation of functions with discontinuous derivatives

Author: Petersen, Philipp
Note: preprint
Date: Aug 2015
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GPU-based visualization of domain-coloured algebraic Riemann surfaces

Author: Kranich, Stefan
Note: preprint
Date: Jul 2015
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Stripe patterns on surfaces

Authors: F. Knöppel, K. Crane, U. Pinkall, and Schröder, P.
Journal: ACM Trans. Graph., 34(4):39:1--39:11
Date: Jul 2015

The Singular Values of the GOE

Authors: Bornemann, Folkmar and Croix, Michael La
Journal: Random Matrices: Theory Appl. 04, 1550009 (2015) (32 pages)
Date: Jun 2015
DOI: 10.1142/S2010326315500094
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An epsilon-delta bound for plane algebraic curves and its use for certified homotopy continuation of systems of plane algebraic curves

Author: Kranich, Stefan
Note: preprint
Date: May 2015
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The universality theorem for neighborly polytopes

Authors: Adiprasito, Karim and Padrol, Arnau
Journal: Combinatorica
Note: accepted, preprint at arxiv
Date: Feb 2015
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A convergent Lagrangian discretization for a nonlinear fourth order equation

Authors: Matthes, Daniel and Osberger, Horst
Journal: Found. Comput. Math.
Note: online first
Date: 2015
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A dynamical solution to the Basel problem

Author: Vermeeren, M.
Date: 2015
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A fully discrete variational scheme for solving Fokker-Planck equations in higher space dimensions

Authors: Junge, Oliver and Matthes, Daniel and Osberger, Horst
Note: submitted
Date: 2015
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A Laplace Operator on Semi-Discrete Surfaces

Author: Carl, Wolfgang
Journal: Foundations of Computational Mathematics, pages 1-36
Date: 2015
DOI: 10.1007/s10208-015-9271-y
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A new phase space density for quantum expectations

Authors: J. Keller, C. Lasser, and Ohsawa, T.
Note: 24pp
Date: 2015
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An improved Talbot method for numerical Laplace transform inversion

Authors: Dingfelder, Benedict and Weideman, J.A.C.
Journal: Numerical Algorithms, 68(1):167-183
Date: 2015
DOI: 10.1007/s11075-014-9895-z
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An invariant class of Hermite type multivariate polynomials for the Wigner transform

Authors: H. Dietert, J. Keller, and Troppmann, S.
Note: 22pp
Date: 2015
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Anisotropic multiscale systems on bounded domains

Authors: Grohs, P. and Kutyniok, G. and Ma, J. and Petersen, P.
Note: preprint
Date: 2015
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Approximating persistent homology in Euclidean space through collapses

Authors: Botnan, Magnus Bakke and Spreemann, Gard
Journal: Applicable Algebra in Engineering, Communication and Computing, 26(1-2):73--101
Date: 2015
DOI: 10.1007/s00200-014-0247-y
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Approximation and convergence of the intrinsic volume

Authors: Edelsbrunner, Herbert and Pausinger, Florian
Journal: Advances in Mathematics
Note: accepted
Date: 2015
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Architectural Geometry

Authors: Pottmann, Helmut and Eigensatz, Michael and Vaxman, Amir and Wallner, Johannes
Journal: Computers and Graphics, 47:145-164
Date: 2015
DOI: 10.1016/j.cag.2014.11.002
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Cayley-Bacharach Formulas

Authors: Qingchun Ren, Jürgen Richter-Gebert and Sturmfels, Bernd
Journal: The American Mathematical Monthly, 122(9):845--854
Date: 2015
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CindyJS: A growing collection of interactive demonstrations

Authors: Kortenkamp, Ulrich and Kranich, Stefan and Richter-Gebert, Jürgen and Strobel, M. and von Gagern, Martin and Wurster, J.
Date: 2015
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Classification of edges using compactly supported shearlets

Authors: Kutyniok, Gitta and Petersen, Philipp
Journal: Applied and Computational Harmonic Analysis
Date: 2015
DOI: 10.1016/j.acha.2015.08.006
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Close-to-conformal deformations of volumes

Authors: Chern, A. and Pinkall, U. and Schröder, P.
Journal: ACM Transactions on Graphics, 34(4):56
Date: 2015

Combinatorial positivity of translation-invariant valuations and a discrete Hadwiger theorem

Authors: Jochemko, Katharina and Sanyal, Raman
Journal: J. Eur. Math. Soc. (JEMS)
Note: accepted for publication, preprint on arxiv
Date: 2015
Download: arXiv

Conformal mesh deformations with Möbius transformations

Authors: Vaxman, Amir and Müller, Christian and Weber, Ofir
Journal: ACM Trans. Graphics, 34:$\#$ 55, 1--11
Note: Proc. SIGGRAPH
Date: 2015

Conformal mesh deformations with Möbius transformations

Authors: Vaxman, Amir and Müller, Christian and Weber, Ofir
Journal: ACM Transactions on Graphics (TOG), 34(4):55
Date: 2015
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Convergence of a Fully Discrete Variational Scheme for a Thin Film Equation

Authors: Osberger, Horst and Matthes, Daniel
Journal: Radon Series on Computational and Applied Mathematics
Note: accepted
Date: 2015
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Dirac Structures in Vakonomic Mechanics

Authors: Jiménez, Fernando and Yoshimura, Hiroaki
Journal: J. Geom. Phys.
Note: accepted
Date: 2015
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Discrete conformal maps and ideal hyperbolic polyhedra

Authors: Bobenko, A. I. and Pinkall, U. and Springborn, B.
Journal: Geom. Topol., 19:2155-2215
Date: 2015
DOI: 10.2140/gt.2015.19.2155
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Discrete line complexes and integrable evolution of minors

Authors: Bobenko, A. I. and Schief, W.
Journal: Proc. Royal Soc. A, 471(2175):23 pp.
Date: 2015
DOI: 10.1098/rspa.2014.0819
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Discrete pluriharmonic functions as solutions of linear pluri-Lagrangian systems

Authors: Bobenko, A. I. and Suris, Yu. B.
Journal: Commun. Math. Phys., 336(1):199--215
Date: 2015
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Discrete Riemann surfaces based on quadrilateral cellular decompositions

Authors: Bobenko, A. I. and Günther, F.
Date: 2015

Discrete uniformization of finite branched covers over the Riemann sphere via hyper-ideal circle patterns

Authors: Bobenko, A. I. and Dimitrov, N. and Sechelmann, S.
Date: 2015
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Domain formation in magnetic polymer composites: an approach via stochastic homogenization

Authors: Alicandro, R. and Cicalese, M. and Ruf, M.
Journal: Arch. Rat. Mech. Anal., 218(2):945--984
Date: 2015
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Dyck path triangulations and extendability

Authors: Ceballos, Cesar and Padrol, Arnau and Sarmiento, Camilo
Journal: Journal of Combinatorial Theory, Series A, 131(0):187-208
Date: 2015
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Enumeration of neighborly polytopes and oriented matroids

Authors: Miyata, Hiroyuki and Padrol, Arnau
Journal: Experimental Math., 24:489-505
Date: 2015
DOI: 10.1080/10586458.2015.1015084
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Exponential Convergence to Equilibrium in a Coupled Gradient Flow System Modelling Chemotaxis

Authors: Zinsl, Jonathan and Matthes, Daniel
Journal: Analysis & PDE, 8(2):425-466
Date: 2015
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Frustrated ferromagnetic spin chains: a variational approach to chirality transitions

Authors: Cicalese, M. and Solombrino, F.
Journal: Journal of Nonlinear Science, 25(291-313)
Date: 2015

Hamilton-Dirac systems for charged particles in gauge fields

Author: Jiménez, F.
Journal: J. Geom. Phys., 94:35-49
Date: 2015
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Hyper-ideal Circle Patterns with Cone Singularities

Author: Dimitrov, N.
Journal: Results in Mathematics, pages 1-45
Date: 2015
DOI: 10.1007/s00025-015-0453-3
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Ideal geometry of periodic entanglements

Author: Hyde, Myfanwy E. Evans AND Vanessa Robins AND Stephen
Journal: P. R. Soc. A, 471(2181):2015.0254
Date: 2015
DOI: 10.1098/rspa.2015.0254
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Induced matchings and the algebraic stability of persistence barcodes

Authors: Bauer, Ulrich and Lesnick, Michael
Journal: Journal of Computational Geometry, 6(2):162--191
Date: 2015
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Interactive design of developable surfaces

Authors: Tang, Chengcheng and Bo, Pengbo and Wallner, Johannes and Pottmann, Helmut
Journal: ACM Trans. Graphics
Note: accepted
Date: 2015
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Isothermic Triangulated Surfaces

Authors: Lam, Wai Yeung and Pinkall, Ulrich
Note: preprint
Date: Jan 2015
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Linear independence of compactly supported separable shearlet systems

Authors: Ma, Jackie and Petersen, Philipp
Journal: Journal of Mathematical Analysis and Applications, 428:238-257
Date: 2015
DOI: 10.1016/j.jmaa.2015.03.001
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Long-Time Behaviour of a Fully Discrete Lagrangian Scheme for a Family of Fourth Order

Author: Osberger, Horst
Note: Submitted
Date: 2015
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Many projectively unique polytopes

Author: Karim Adiprasito, Günter M. Ziegler
Journal: Inventiones math., 199:581-652
Date: 2015
DOI: 10.1007/s00222-014-0519-y
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Minima of invariant functions: The inverse problem

Authors: Scheurle, Jürgen and Walcher, Sebastian
Journal: Acta Applicandae Mathematicae, 137(1):233-252
Note: accepted for publication by Acta Applicandae Mathematicae
Date: 2015
DOI: 10.1007/s10440-014-9997-6
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Modified equations for variational integrators

Author: Vermeeren, M.
Date: 2015
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Moduli of tropical plane curves

Authors: Brodsky, Sarah and Joswig, Michael and Morrison, Ralph and Sturmfels, Bernd
Journal: Research in the Mathematical Sciences, 2(1):4
Date: 2015
DOI: 10.1186/s40687-014-0018-1
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New developments on the Geometric Nonholonomic Integrator

Authors: Ferraro, Sebastián and Jiménez, Fernando and de Diego, David Martín
Journal: Nonlinearity, 28:871-900
Date: 2015
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Non-Hermitian propagation of Hagedorn wavepackets

Authors: C. Lasser, R. Schubert, and Troppmann, S.
Note: 33pp
Date: 2015
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On integrability of discrete variational systems: Octahedron relations

Authors: Boll, R. and Petrera, M. and Suris, Yu. B.
Journal: Internat. Math. Res. Notes, 2015:rnv140, 24 pp.
Date: 2015
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On the discretization of nonholonomic dynamics in $\mathbb{R}^n$

Authors: Jimenez, Fernando and Scheurle, Juergen
Journal: J. Geom. Mechanics, 7(1):43-80
Date: 2015
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On the discretization of the Euler-Poincaré-Suslov equations in $SO(3)$

Authors: Jiménez, F. and Scheurle, J.
Date: 2015
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Optimal Triangulation of saddle surfaces

Authors: Atariah, Dror and Rote, Günter and Wintraecken, Mathijs
Date: 2015
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Perfect Matching Quad Layouts for Manifold Meshes

Authors: Razafindrazaka, Faniry H. and Reitebuch, Ulrich and Polthier, Konrad
Journal: Computer Graphics Forum (proceedings of EUROGRAPHICS Symposium on Geometry Processing), 34(5)
Date: 2015
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Polyhedral Patterns

Authors: Jiang, Caigui and Tang, Chengcheng and Vaxman, Amir and Wonka, Peter and Pottmann, Helmut
Journal: ACM Trans. Graphics, 34
Note: Proc. SIGGRAPH Asia
Date: 2015

Realization of Regular Maps Large Genus

Authors: Razafindrazaka, Faniry and Polthier, Konrad
In Book: Topological and Statistical Methods for Complex Data, Springer Berlin Heidelberg
Date: 2015
DOI: 10.1007/978-3-662-44900-4_14
ISBN: 978-3-662-44900-4
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S-conical minimal surfaces. Towards a unified theory of discrete minimal surfaces.

Authors: Bobenko, A. I. and Hoffmann, T. and König, B. and Sechelmann, S.
Note: Preprint
Date: 2015
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Semi-Discrete Constant Mean Curvature Surfaces

Author: Müller, Christian
Journal: Math. Z., 279:459-478
Date: 2015
DOI: 10.1007/s00209-014-1377-4
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Semi-discrete constant mean curvature surfaces

Author: Müller, Christian
Journal: Mathematische Zeitschrift, 279(1-2):459--478
Date: 2015
DOI: 10.1007/s00209-014-1377-4
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Smoothing discrete Morse theory

Author: Benedetti, B.
Journal: Annali Sc.\ Norm.\ Sup.\ Cl.\ Sci.
Note: accepted, preprint at arxiv
Date: 2015
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Subdivisions, shellability, and collapsibility of products

Authors: Adiprasito, K. and Benedetti, B.
Journal: Combinatorica
Note: accepted, preprint at arxiv
Date: 2015
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The asymptotic behaviour of the discrete holomorphic map $Z^a$ via the Riemann-Hilbert method

Authors: Bobenko, A. I. and Its, A.
Journal: Duke Math.~J.
Note: accepted
Date: 2015
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The degree of point configurations: Ehrhart theory, Tverberg points and almost neighborly polytopes

Authors: Nill, Benjamin and Padrol, Arnau
Journal: European Journal of Combinatorics (special issue in honour of Michel Las Vergnas), 50:159–179
Date: 2015
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Tight complexes in $3$-space admit perfect discrete Morse functions

Authors: Adiprasito, K. and Benedetti, B.
Journal: Eur. J. Comb., 45:71--84
Date: 2015
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Touch und Tablet: Stationen einer Designstudie

Author: Richter-Gebert, Jürgen
Journal: Heintz, G., Pinkernell, G., Schacht, F. (Hrsg.): Digitale Werkzeuge für den Mathematikunterricht. Festschrift für Hans-Jürgen Elschenbroich
Date: 2015
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Transport Distances and Geodesic Convexity for Systems of Degenerate Diffusion Equations

Authors: Zinsl, Jonathan and Matthes, Daniel
Journal: Calculus of Variations and Partial Differential Equations
Note: accepted
Date: 2015
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Tropicalizing the simplex algorithm

Authors: Allamigeon, Xavier and Benchimol, Pascal and Gaubert, Stéphane and Joswig, Michael
Journal: SIAM Journal on Discrete Mathematics, 29(2):751--795
Date: 2015
DOI: 10.1137/130936464
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Twisted x-rays: incoming waveforms yielding discrete diffraction patterns for helical structures

Authors: G. Friesecke, R. D. James, and Jüstel, D.
Date: 2015
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Universality theorems for inscribed polytopes and Delaunay triangulations

Authors: Adiprasito, Karim and Padrol, Arnau and Theran, Louis
Journal: Discrete Comput. Geom., 54:412-431
Date: 2015
Download: arXiv

Variational symmetries and pluri-Lagrangian systems

Author: Suris, Yu. B.
In Collection: Dynamical Systems, Number Theory and Applications: A Festschrift in Honor of Professor Armin Leutbecher's 80th Birthday, World Scientific
Date: 2015
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Papers 2014
A discrete parametrized surface theory in $\mathbb{R^3}$

Authors: Hoffmann, Tim and Sageman-Furnas, Andrew O. and Wardetzky, Max
Note: preprint
Date: Dec 2014
Download: arXiv

Discrete Riemann surfaces: linear discretization and its convergence

Authors: Bobenko, Alexander and Skopenkov, Mikhail
Journal: J. reine und angew. Math.
Date: Oct 2014
DOI: 10.1515/crelle-2014-0065
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Surface panelization using periodic conformal maps

Authors: Rörig, Thilo and Sechelmann, Stefan and Kycia, Agata and Fleischmann, Moritz
In Proceedings: Advances in Architectural Geometry 2014, Springer
Note: Best Paper Award
Date: Sep 2014

Quasi-classical description of molecular dynamics based on Egorov's theorem

Authors: Keller, Johannes and Lasser, Caroline
Journal: The Journal of Chemical Physics, 141(5)
Date: Aug 2014
DOI: 10.1063/1.4891517
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$\alpha$-Molecules

Authors: Grohs, Philipp and Keiper, Sandra and Kutyniok, Gitta and Schäfer, Martin
Note: preprint
Date: Jul 2014
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A methodology for obtaining asymptotic estimates for the exponentially small splitting of separatrices to whiskered tori with quadratic frequencies

Authors: Delshams, A. and Gonchenko, M. and Gutiérrez, P.
Note: To appear in Research Perspectives CRM Barcelona
Date: Jul 2014
Download: arXiv

Kinematics of Expansive Planar Periodic Mechanisms

Authors: Borcea, Ciprian S. and Streinu, Ileana
Journal: Advances in Robot Kinematics (ARK'14)
Note: preprint
Date: Jul 2014
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On dynamics and bifurcations of area-preserving maps with homoclinic tangencies

Authors: Delshams, A. and Gonchenko, M. and Gonchenko, S.
Note: Submitted to Nonlinearity
Date: Jul 2014
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Regularization and Numerical Solution of the Inverse Scattering Problem using Shearlet Frames

Authors: Kutyniok, Gitta and Mehrmann, Volker and Petersen, Philipp
Note: preprint
Date: Jul 2014
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Smoke Rings from Smoke

Authors: Weißmann, Steffen and Pinkall, Ulrich and Schröder, Peter
Journal: ACM Trans. Graph., 33(4):140:1--140:8
Date: Jul 2014
DOI: 10.1145/2601097.2601171
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Landau–Zener type surface hopping algorithms

Authors: Belyaev, Andrey K. and Lasser, Caroline and Trigila, Giulio
Journal: The Journal of Chemical Physics, 140(22):-
Date: Jun 2014
DOI: 10.1063/1.4882073
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Liftings and stresses for planar periodic frameworks

Authors: Borcea, Ciprian S. and Streinu, Ileana
Journal: in Proc. 30th Symposium on Computational Geometry (SoCG'14)
Note: preprint
Date: Jun 2014
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Hagedorn Wavepackets in Time-Frequency and Phase Space

Authors: Lasser, Caroline and Troppmann, Stephanie
Journal: Journal of Fourier Analysis and Applications, 20(4):679-714
Date: May 2014
DOI: 10.1007/s00041-014-9330-9
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Polygons as slices of higher-dimensional polytopes

Authors: Padrol, Arnau and Pfeifle, Julian
Note: Preprint
Date: Apr 2014
Download: arXiv

Differential-Based Geometry and Texture Editing with Brushes

Authors: Krauth, Niklas and Nieser, Matthias and Polthier, Konrad
Journal: J. Math. Imaging Vis., 48(2):359--368
Date: Feb 2014
DOI: 10.1007/s10851-013-0443-6
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Discretization of asymptotic line parametrizations using hyperboloid surface patches

Authors: Huhnen-Venedey, Emanuel and Rörig, Thilo
Journal: Geometriae Dedicata, 168(1):265-289
Date: Feb 2014
DOI: 10.1007/s10711-013-9830-9
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Landau-Lifshitz equation, uniaxial anisotropy case: Theory of exact solutions

Authors: Bikbaev, R.F. and Bobenko, A.I. and Its, A.R.
Journal: Theoretical and Mathematical Physics, 178(2):143-193
Date: Feb 2014
DOI: 10.1007/s11232-014-0135-4
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What is integrability of discrete variational systems?

Authors: Boll, Raphael and Petrera, Matteo and Suris, Yuri B.
Journal: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, 470(2162)
Date: Feb 2014
DOI: 10.1098/rspa.2013.0550
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Affine arc length polylines and curvature continuous uniform B-splines

Author: Käferböck, Florian
Journal: Computer-Aided Geom. Design, 31
Date: 2014
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Asymptotic Behavior of Gradient Flows Driven by Nonlocal Power Repulsion and Attraction Potentials in One Dimension

Authors: Francesco, Marco Di and Fornasier, Massimo and Hütter, Jan-Christian and Matthes, Daniel
Note: accepted at SIAM-MA
Date: Jan 2014
Download: arXiv

Cell packing structures

Authors: Pottmann, Helmut and Jiang, Caigui and Höbinger, Mathias and Wang, Jun and Bompas, Philippe and Wallner, Johannes
Journal: Computer-Aided Design
Note: to appear. Special issue on Material Ecology
Date: 2014
DOI: 10.1016/j.cad.2014.02.009
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Complex Polynomial Mandalas and their Symmetries

Authors: Konstantin Poelke, Zoi Tokoutsi and Polthier, Konrad
In Proceedings: Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture, Tessellations Publishing
Date: 2014
ISBN: 978-1-938664-11-3
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Continuation of the exponentially small transversality for the splitting of separatrices to a whiskered torus with silver ratio

Authors: Delshams, Amadeu and Gonchenko, Marina and Gutiérrez, Pere
Journal: Regul. Chaotic Dyn., 19(6):663--680
Date: 2014
DOI: 10.1134/S1560354714060057
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Convergence of a Variational Lagrangian Scheme for a Nonlinear Drift Diffusion Equation

Authors: Matthes, Daniel and Osberger, Horst
Journal: ESAIM: Mathematical Modelling and Numerical Analysis, 48(03):697-726
Note: Cambridge Univ Press
Date: 2014
Download: arXiv

Corrections to Wigner type phase space methods

Authors: Gaim, Wolfgang and Lasser, Caroline
Journal: Nonlinearity, 27(12):2951-2974
Date: 2014
DOI: 10.1088/0951-7715/27/12/2951
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Delaunay triangulations with disconnected realization spaces

Authors: Padrol, Arnau and Theran, Louis
In Proceedings: 30th Annual Symposium on Computational Geometry, SOCG'14, Kyoto, Japan, June 08 - 11, 2014, {ACM}
Date: 2014
DOI: 10.1145/2582112.2582119
ISBN: 978-1-4503-2594-3
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Discrete constant mean curvature nets in space forms: Steiner's formula and Christoffel duality

Authors: Bobenko, Alexander I. and Hertrich-Jeromin, Udo and Lukyanenko, Inna
Journal: Discrete and Computational Geometry, 52(4):612-629
Date: 2014
DOI: 10.1007/s00454-014-9622-5
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Dualizable Shearlet Frames and Sparse Approximation

Authors: Kutyniok, Gitta and Lim, Wang-Q
Note: preprint
Date: 2014
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Exponentially small asymptotic estimates for the splitting of separatrices to whiskered tori with quadratic and cubic frequencies

Authors: Delshams, Amadeu and Gonchenko, Marina and Gutiérrez, Pere
Journal: Electron. Res. Announc. Math. Sci., 21:41--61
Date: 2014
DOI: 10.3934/era.2014.21.41
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Exponentially Small Lower Bounds for the Splitting of Separatrices to Whiskered Tori with Frequencies of Constant Type

Authors: Delshams, Amadeu and Gonchenko, Marina and Gutiérrez, Pere
Journal: International Journal of Bifurcation and Chaos, 24(08):1440011
Date: 2014
DOI: 10.1142/S0218127414400112
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Extremal examples of collapsible complexes and random discrete Morse theory

Authors: Adiprasito, K. and Benedetti, B. and Lutz, F. H.
Note: 20 pages
Date: 2014
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Foldable triangulations of lattice polygons

Authors: Joswig, Michael and Ziegler, Günter M.
Journal: Amer. Math. Monthly, 121(8):706-710
Date: 2014
DOI: 10.4169/amermathmont.121.08.706
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Form-finding with Polyhedral Meshes Made Simple

Authors: Tang, Chengcheng and Sun, Xiang and Gomes, Alexandra and Wallner, Johannes and Pottmann, Helmut
Journal: ACM Trans. Graphics, 33(4):$\#$70,1-9
Note: Proc. SIGGRAPH
Date: 2014
DOI: 10.1145/2601097.2601213
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Freeform Honeycomb Structures

Authors: Jiang, Caigui and Wang, Jun and Wallner, Johannes and Pottmann, Helmut
Journal: Comput. Graph. Forum, 33(5):185-194
Note: Proc. Symposium Geometry Processing
Date: 2014
DOI: 10.1111/cgf.12444
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Geodesically Convex Energies and Confinement of Solutions for a Multi-Component System of Nonlocal Interaction Equations

Author: Zinsl, Jonathan
Note: Submitted
Date: 2014
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Interactive modeling of architectural freeform structures - combining geometry with fabrication and statics

Authors: Jiang, Caigui and Tang, Chengcheng and Tomičić, Marko and Wallner, Johannes and Pottmann, Helmut
In Collection: Advances in Architectural Geometry, Springer
Date: 2014
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Many neighborly inscribed polytopes and Delaunay triangulations

Authors: Gonska, Bernd and Padrol, Arnau
Journal: DMTCS Proceedings, pages 161-168
In Proceedings: 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014)
Date: 2014
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Metastability and dynamics of discrete topological singularities in two dimensions: a Gamma-convergence approach

Authors: R. Alicandro, L. De Luca, A. Garroni and Ponsiglione, M.
Journal: Archive for Rational Mechanics and Analysis, 214(1):269--330
Date: 2014

On bifurcations of area-preserving and nonorientable maps with quadratic homoclinic tangencies

Authors: Delshams, Amadeu and Gonchenko, Marina and Gonchenko, Sergey V.
Journal: Regul. Chaotic Dyn., 19(6):702--717
Date: 2014
DOI: 10.1134/S1560354714060082
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On Discrete Constant Mean Curvature Surfaces

Author: Müller, Christian
Journal: Discrete Comput. Geom., 51(3):516--538
Date: 2014
DOI: 10.1007/s00454-014-9577-6
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On offsets and curvatures for discrete and semidiscrete surfaces

Authors: Karpenkov, Oleg and Wallner, Johannes
Journal: Beitr. Algebra Geom., 55:207-228
Date: 2014
DOI: 10.1007/s13366-013-0146-6
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On Weingarten Transformations of Hyperbolic Nets

Authors: Huhnen-Venedey, Emanuel and Schief, Wolfgang K.
Journal: International Mathematics Research Notices
Date: 2014
DOI: 10.1093/imrn/rnt354
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Parabolic molecules

Authors: Grohs, Philipp and Kutyniok, Gitta
Journal: Found. Comput. Math., 14(2):299--337
Date: 2014
DOI: 10.1007/s10208-013-9170-z
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Random discrete Morse theory and a new library of triangulations

Authors: Benedetti, B. and Lutz, F. H.
Journal: Experimental Mathematics, 23(1):66-94
Date: 2014
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Regular Surfaces and Regular Maps

Authors: Razafindrazaka, Faniry and Polthier, Konrad
In Proceedings: Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture, Tessellations Publishing
Date: 2014
ISBN: 978-1-938664-11-3
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Ropelength Criticality

Authors: Cantarella, Jason and Fu, Joseph H. G. and Kusner, Robert B. and Sullivan, John M.
Journal: Geom. Topol., 18:1973--2043
Date: 2014
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Shaping the skin: the interplay of mesoscale geometry and corneocyte swelling

Author: Roth, Myfanwy E. Evans AND Roland
Journal: Phys. Rev. Lett., 112(3):038102:1--5
Date: 2014
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ShearLab 3D: Faithful Digital Shearlet Transforms based on Compactly Supported Shearlets

Authors: Kutyniok, Gitta and Lim, Wang-Q and Reisenhofer, Rafael
Note: Preprint
Date: Jan 2014
Download: internal arXiv

Sigma-Delta quantization of sub-Gaussian frame expansions and its application to compressed sensing

Authors: Krahmer, F. and Saab, R. and Yilmaz, Ö.
Journal: Inform. Inference, 3(1):40-58
Date: 2014
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Smoke rings from smoke

Authors: S. Weissmann, U. Pinkall, and Schröder, P.
Journal: ACM Transactions on Graphics, 33
Date: 2014

Smooth surfaces from rational bilinear patches

Authors: Shi, Ling and Wang, Jun and Pottmann, Helmut
Journal: Comput. Aided Geom. Design, 31(1):1--12
Date: 2014
DOI: 10.1016/j.cagd.2013.11.001
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Suprema of Chaos Processes and the Restricted Isometry Property

Authors: Krahmer, F. and Mendelson, S. and Rauhut, H.
Journal: Comm. Pure Appl. Math., 67(11):1877-1904
Date: 2014
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Teaching and Learning "What is Mathematics"

Authors: Ziegler, Günter M. and Loos, Andreas
In Collection: Proc. International Congress of Mathematicians, Seoul 2014, Kyung Moon Books
Date: 2014
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The Morse Theory of Cech and Delaunay Filtrations

Authors: Bauer, Ulrich and Edelsbrunner, Herbert
In Proceedings: Proceedings of the Thirtieth Annual Symposium on Computational Geometry, ACM
Date: 2014
DOI: 10.1145/2582112.2582167
ISBN: 978-1-4503-2594-3
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The Persistent Homology of a Self-Map

Authors: Edelsbrunner, Herbert and Jablonski, Grzegorz and Mrozek, Marian
Journal: Foundations of Computational Mathematics, pages 1--32
Date: 2014
DOI: 10.1007/s10208-014-9223-y
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Tight and non-tight topological Tverberg type theorems

Authors: Blagojevic, Pavle V. M. and Frick, Florian and Matschke, Benjamin and Ziegler, Günter M.
Journal: Oberwolfach Reports, 11(3):2284-2287
Date: 2014
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Tverberg plus constraints

Authors: Blagojevic, Pavle V. M. and Frick, Florian and Ziegler, Günter M.
Journal: Bulletin of the London Mathematical Society, 46:953-967
Note: Extended Abstract: Oberwolfach Reports, 11(1):14-16, 2014
Date: 2014
DOI: 10.1112/blms/bdu049
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Variational Laplacians for semidiscrete surfaces

Authors: Carl, Wolfgang and Wallner, Johannes
Note: submitted
Date: 2014
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Papers 2013
Diskretisierung in Geometrie und Dynamik - Elastische Stäbe und Rauchringe

Authors: Bobenko, A.I. and Springborn, B.
Journal: Mitteilungen der DMV, 21(1):218-224
Date: Dec 2013
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Many neighborly polytopes and oriented matroids.

Author: Padrol, Arnau
Journal: Discrete Comput. Geom., 50(4):865--902
Date: Dec 2013
DOI: 10.1007/s00454-013-9544-7
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On Bianchi permutability of Bäcklund transformations for asymmetric quad-equations

Author: Boll, Raphael
Journal: Journal of Nonlinear Mathematical Physics, 20(4):577-605
Date: Dec 2013
DOI: 10.1080/14029251.2013.865829
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An Efficient Construction of Reduced Deformable Objects

Authors: von Tycowicz, Christoph and Schulz, Christian and Seidel, Hans-Peter and Hildebrandt, Klaus
Journal: ACM Trans. Graph., 32(6):213:1--213:10
Date: Nov 2013
DOI: 10.1145/2508363.2508392
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There is no triangulation of the torus with vertex degrees 5, 6, ... , 6, 7 and related results: geometric proofs for combinatorial theorems

Authors: Izmestiev, Ivan and Kusner, Robert B. and Rote, Günter and Springborn, Boris and Sullivan, John M.
Journal: Geometriae Dedicata, 166(1):15-29
Date: Oct 2013
DOI: 10.1007/s10711-012-9782-5
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Knots in Collapsible and Non-Collapsible Balls

Authors: Benedetti, Bruno and Lutz, Frank H.
Journal: Electronic Journal of Combinatorics, 20, No. 3
Note: Paper P31, 29 pages
Date: Aug 2013
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Motion in a Symmetric Potential on the Hyperbolic Plane

Authors: Santoprete, Manuele and Scheurle, Jürgen and Walcher, Sebastian
Journal: Canadian J. of Mathematics
Note: 27 pages
Date: Aug 2013
DOI: 10.4153/CJM-2013-026-2
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Neighborly inscribed polytopes and Delaunay triangulations

Authors: Gonska, Bernd and Padrol, Arnau
Note: Preprint
Date: Aug 2013
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Propagation of Quantum Expectations with Husimi Functions

Authors: Keller, Johannes and Lasser, Caroline
Journal: SIAM Journal on Applied Mathematics, 73(4):1557-1581
Date: Jul 2013
DOI: 10.1137/120889186
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Robust fairing via conformal curvature flow

Authors: K. Crane, U. Pinkall, and Schröder, P.
Journal: ACM Trans. Graph, 32(4):61:1--61:10
Date: Jul 2013

Automatic Deformation of Riemann–Hilbert Problems with Applications to the Painlevé II Transcendents

Authors: Wechslberger, Georg and Bornemann, Folkmar
Journal: Constructive Approximation, pages 1-21
Date: Jun 2013
DOI: 10.1007/s00365-013-9199-x
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Joint distribution of the first and second eigenvalues at the soft edge of unitary ensembles

Authors: Witte, N.S. and Bornemann, F. and Forrester, P.J.
Journal: Nonlinearity, Volume 26, Number 6, pp. 1799-1822
Date: Jun 2013
DOI: 10.1088/0951-7715/26/6/1799
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On highly regular embeddings

Authors: Blagojevic, Pavle V. M. and Lück, Wolfgang and Ziegler, Günter M.
Note: Preprint, 19 pages; Transactions Amer. Math. Soc. to appear, Extended Abstract: in Proc. "Combinatorial Methods in Topology and Algebra'' (CoMeTa), Cortona
Date: May 2013
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Gabor Shearlets

Authors: Bodmann, Bernhard G. and Kutyniok, Gitta and Zhuang, Xiaosheng
Journal: Appl. Comput. Harmon. Anal.
Note: submitted
Date: Mar 2013
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Regular Map Smoothing

Authors: Razafindrazaka, Faniry and Polthier, Konrad
Journal: IMAGEN-A, 3(5)
Date: Mar 2013
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The Hirsch conjecture holds for normal flag complexes

Authors: Adiprasito, Karim Alexander and Benedetti, Bruno
Note: preprint, revised April 2013
Date: Mar 2013
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De Casteljauʼs algorithm on manifolds

Authors: Nava-Yazdani, E. and Polthier, K.
Journal: Computer Aided Geometric Design, 30(7):722 - 732
Date: 2013
DOI: 10.1016/j.cagd.2013.06.002
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Discrete complex analysis – the medial graph approach

Authors: Bobenko, Alexander I. and Günther, Felix
Journal: Actes des rencontres du CIRM 3 no. 1: Courbure discrète: théorie et applications, pages 159-169
Date: 2013
DOI: 10.5802/acirm.65
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Discrete Line Congruences for Shading and Lighting

Authors: Wang, J. and Jiang, C. and Bompas, P. and Wallner, J. and Pottmann, H.
Journal: Computer Graphics Forum, 32(5):53-62
Note: Proc. Symposium Geometry Processing
Date: 2013
DOI: 10.1111/cgf.12172
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Globally optimal direction fields

Authors: Knöppel, Felix and Crane, Keenan and Pinkall, Ulrich and Schröder, Peter
Journal: ACM Trans. Graph., 32(4)
Date: 2013
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Inscribable stacked polytopes

Authors: Gonska, Bernd and Ziegler, Günter M.
Journal: Adv. Geom., 13:723-740
Date: 2013
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Metric geometry, convexity and collapsibility

Authors: Adiprasito, K. and Benedetti, B.
Date: 2013
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Multi-time Lagrangian 1-forms for families of Bäcklund transformations. Relativistic Toda-type systems

Authors: Boll, R. and Petrera, M. and Suris, Yu. B.
Journal: J. Phys. A: Math. Theor., 46(27):275024, 26 pp.
Date: 2013
DOI: 10.1088/1751-8113/46/27/275204
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Periodic entanglement I: nets from hyperbolic reticulations

Author: Hyde, Myfanwy E. Evans AND Vanessa Robins AND Stephen
Journal: Acta Cryst., A69:241--261
Date: 2013
DOI: 10.1107/S0108767313001670
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Periodic entanglement II: weavings from hyperbolic line patterns

Author: Hyde, Myfanwy E. Evans AND Vanessa Robins AND Stephen
Journal: Acta Cryst., A69:262--275
Date: 2013
DOI: 10.1107/S0108767313001682
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Quasiisothermic Mesh Layout

Authors: Sechelmann, Stefan and Rörig, Thilo and Bobenko, Alexander I.
In Collection: Advances in Architectural Geometry 2012, Springer Vienna
Date: 2013
DOI: 10.1007/978-3-7091-1251-9_20
ISBN: 978-3-7091-1250-2
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Robust Fairing via Conformal Curvature Flow

Authors: Crane, Keenan and Pinkall, Ulrich and Schröder, Peter
Journal: ACM Trans. Graph., 32
Date: 2013
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Smooth surfaces from bilinear patches: discrete affine minimal surfaces

Authors: Käferböck, Florian and Pottmann, Helmut
Journal: Computer-Aided Geom. Design, 30:476-489
Date: 2013
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Sparsity and spectral properties of dual frames

Authors: Krahmer, F. and Kutyniok, G. and Lemvig, J.
Journal: Linear Algebra and its Applications, 439(4):982 - 998
Date: 2013
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The 6-ring

Authors: Razafindrazaka, Faniry and Polthier, Konrad
In Proceedings: Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture, Tessellations Publishing
Date: 2013
ISBN: 978-1-938664-06-9
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Topology Optimisation of Regular and Irregular Elastic Gridshells by Means of a Non-linear Variational Method

Authors: Lafuente Hernández, Elisa and Sechelmann, Stefan and Rörig, Thilo and Gengnagel, Christoph
In Collection: Advances in Architectural Geometry 2012, Springer Vienna
Date: 2013
DOI: 10.1007/978-3-7091-1251-9_11
ISBN: 978-3-7091-1250-2
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Variational formulation of commuting Hamiltonian flows: multi-time Lagrangian 1-forms

Author: Suris, Yu. B.
Journal: J. Geometric Mechanics, 5(3):365--379
Date: 2013
DOI: 10.3934/jgm.2013.5.365
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Papers 2012
On Discrete Integrable Equations with Convex Variational Principles

Authors: Bobenko, Alexander I. and Günther, Felix
Journal: Letters in Mathematical Physics, 102(2):181-202
Date: Sep 2012
DOI: 10.1007/s11005-012-0583-4
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Variational integrators for underactuated mechanical control systems with symmetries

Authors: Colombo, Leonardo and Jiménez, Fernando and de Diego, David Martín
Note: submitted
Date: Sep 2012
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S. Kovalevskaya system, its generalization and discretization

Authors: Petrera, M. and Suris, Y. B.
Journal: Frontiers of Mathematics in China, 2013, 8, No. 5, p. 1047-1065
Date: Aug 2012
DOI: 10.1007/s11464-013-0305-y
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Spherical geometry and integrable systems

Authors: Petrera, M. and Suris, Y. B.
Journal: Geometriae Dedicata
Date: Aug 2012
DOI: 10.1007/s10711-013-9843-4
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Robust Modeling of Constant Mean Curvature Surfaces

Authors: Pan, Hao and Choi, Yi-King and Liu, Yang and Hu, Wenchao and Du, Qiang and Polthier, Konrad and Zhang, Caiming and Wang, Wenping
Journal: ACM Trans. Graph., 31(4):85:1--85:11
Date: Jul 2012
DOI: 10.1145/2185520.2185581
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Construction of compactly supported shearlet frames.

Authors: Kittipoom, Pisamai and Kutyniok, Gitta and Lim, Wang-Q
Journal: Constr. Approx., 35(1):21--72
Date: 2012
DOI: 10.1007/s00365-011-9142-y
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Domain Coloring of Complex Functions: An Implementation-Oriented Introduction

Authors: Poelke, K. and Polthier, K.
Journal: IEEE Computer Graphics and Applications, 32(5):90-97
Date: 2012
DOI: 10.1109/MCG.2012.100
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Hexagonal Global Parameterization of Arbitrary Surfaces

Authors: Nieser, Matthias and Palacios, Jonathan and Polthier, Konrad and Zhang, Eugene
Journal: IEEE Transactions on Visualization and Computer Graphics, 18(6):865-878
Date: 2012
DOI: 10.1109/TVCG.2011.118
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Lower bounds for the error decay incurred by coarse quantization schemes

Authors: Krahmer, F. and Ward, R.
Journal: Appl. Comput. Harmonic Anal., 32(1):131--138
Date: 2012
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Modal shape analysis beyond Laplacian

Authors: Hildebrandt, Klaus and Schulz, Christian and von Tycowicz, Christoph and Polthier, Konrad
Journal: Computer Aided Geometric Design, 29(5):204--218
Date: 2012
DOI: 10.1016/j.cagd.2012.01.001
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Polytope mit vielen Splits und ihre Sekundärfächer

Authors: Joswig, Michael and Rörig, Thilo
Journal: Math. Semesterber., 59(2):145--152
Date: 2012
DOI: 10.1007/s00591-012-0102-9
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Root-exponential accuracy for coarse quantization of finite frame expansions

Authors: Krahmer, F. and Saab, R. and Ward, R.
Journal: IEEE Trans. Inform. Theory, 58(2):1069--1079
Date: 2012
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Ruled Free Forms

Authors: Flöry, Simon and Nagai, Yukie and Isvoranu, Florin and Pottmann, Helmut and Wallner, Johannes
In Collection: Advances in Architectural Geometry 2012, Springer
Date: 2012
DOI: 10.1007/978-3-7091-1251-9_4
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Papers 2011
A Quantitative Notion of Redundancy for Finite Frames

Authors: Bodmann, B. G. and Casazza, P. G. and Kutyniok, G.
Journal: Appl. Comput. Harmon. Anal., 30:348-362
Date: 2011
Download: arXiv

An Optimal Family of Exponentially Accurate One-Bit Sigma-Delta Quantization Schemes

Authors: Deift, P. and Güntürk, C. S. and Krahmer, F.
Journal: Comm. Pure Appl. Math., 64(7):883--919
Date: 2011
Download: external

Coarse Quantization with the Fast Digital Shearlet Transform

Authors: Bodmann, B. G. and Kutyniok, G. and Zhuang, X.
In Proceedings: Wavelets and Sparsity XIV (San Diego, CA, 2011), SPIE Proc., SPIE, Bellingham, WA
Date: 2011
DOI: 10.1117/12.892720
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Compactly supported shearlets are optimally sparse.

Authors: Kutyniok, Gitta and Lim, Wang-Q
Journal: J. Approx. Theory, 163(11):1564--1589
Date: 2011
DOI: 10.1016/j.jat.2011.06.005
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From three-dimensional weavings to swollen corneocytes

Author: Hyde, Myfanwy E. Evans AND Stephen T.
Journal: J.~R. Soc. Interface, 8:1274--1280
Date: 2011
DOI: 10.1098/rsif.2010.0722
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Generalized shape operators on polyhedral surfaces

Authors: Hildebrandt, Klaus and Polthier, Konrad
Journal: Computer Aided Geometric Design, 28(5):321 - 343
Date: 2011
DOI: DOI: 10.1016/j.cagd.2011.05.001
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On approximation of the Laplace-Beltrami operator and the Willmore energy of surfaces

Authors: Hildebrandt, Klaus and Polthier, Konrad
Journal: Computer Graphics Forum, 30(5):1513--1520
Date: 2011
DOI: 10.1111/j.1467-8659.2011.02025.x
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Optimally sparse frames

Authors: Casazza, P. and Heinecke, A. and Krahmer, F. and Kutyniok, G.
Journal: IEEE Trans. Inform. Theory, 57(11):7279--7287
Date: 2011
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Sparse Recovery from Combined Fusion Frame Measurements

Authors: Boufounos, P. and Kutyniok, G. and Rauhut, H.
Journal: IEEE Trans. Inform. Theory, 57:3864-3876
Date: 2011
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Spin transformations of discrete surfaces

Authors: Crane, K. and Pinkall, U. and Schröder, P.
Journal: ACM Transactions on Graphics, 30
Date: 2011
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Papers 2010
A simple geometric model for elastic deformations

Authors: Chao, I. and Pinkall, U. and Sanan, P. and Schröder, P.
Journal: ACM Transactions on Graphics, 29
Date: 2010
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Filament-based smoke with vortex shedding and variational reconnection

Authors: Weißmann, S. and Pinkall, U.
Journal: ACM Transactions on Graphics, 29
Date: 2010

The power of scripting: DGS meets programming

Authors: Richter-Gebert, J. and Kortenkamp, U.
Journal: Acta didactica Napocensia, 3(2):67-78
Date: 2010

Totally splittable polytopes

Authors: Herrmann, Sven and Joswig, Michael
Journal: Discrete Comput. Geom., 44(1):149--166
Date: 2010
DOI: 10.1007/s00454-009-9217-8
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Uniform Convergence of Discrete Curvatures from Nets of Curvature Lines

Authors: Bauer, Ulrich and Polthier, Konrad and Wardetzky, Max
Journal: Discrete and Computational Geometry, 43(4):798--823
Date: 2010
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Papers 2009
The Distortion of a Knotted Curve

Authors: Denne, Elizabeth and Sullivan, John M.
Journal: Proc. Amer. Math. Soc., 137:1139--1148
Date: 2009
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Papers 2008
A variational principle for weighted Delaunay triangulations and hyperideal polyhedra

Author: Springborn, Boris
Journal: J. Differential Geom., 78(2):333--367
Date: 2008
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Conformal equivalence of triangle meshes

Authors: Springborn, B. and Schröder, P. and Pinkall, U.
Journal: ACM Transactions on Graphics, 27
Date: 2008
DOI: 10.1145/1360612.1360676
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Papers 2007
A discrete Laplace-Beltrami operator for simplicial surfaces

Authors: Bobenko, Alexander I. and Springborn, Boris A.
Journal: Discrete Comput. Geom., 38(4):740-756
Date: 2007
DOI: 10.1007/s00454-007-9006-1
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An algorithm for the construction of intrinsic Delaunay triangulations with applications to digital geometry processing

Authors: Fisher, Michael and Springborn, Boris and Schröder, Peter and Bobenko, Alexander I.
Journal: Computing, 81(2-3):199--213
Date: 2007
DOI: 10.1007/s00607-007-0249-8
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QuadCover - Surface Parameterization using Branched Coverings

Authors: Kälberer, Felix and Nieser, Matthias and Polthier, Konrad
Journal: Comput. Graph. Forum, 26(3):375--384
Date: 2007

Stability of Persistence Diagrams

Authors: Cohen-Steiner, David and Edelsbrunner, Herbert and Harer, John
Journal: Discrete and Computational Geometry, 37(1):103--120
Date: Jan 2007
DOI: 10.1007/s00454-006-1276-5
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Papers 2006
Computing optimal Morse matchings

Authors: Joswig, Michael and Pfetsch, Marc E.
Journal: SIAM J. Discrete Math., 20(1):11--25 (electronic)
Date: 2006
DOI: 10.1137/S0895480104445885
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Criticality for the Gehring Link Problem

Authors: Cantarella, Jason and Fu, Joseph H. G. and Kusner, Robert B. and Sullivan, John M. and Wrinkle, Nancy C.
Journal: Geom. Topol., 10:2055--2115
Date: 2006
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Minimal surfaces from circle patterns: Geometry from combinatorics

Authors: Bobenko, A. and Hoffmann, T. and Springborn, B.
Journal: Ann. of Math., 164(1):231--264
Date: 2006
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On the convergence of metric and geometric properties of polyhedral surfaces

Authors: Hildebrandt, Klaus and Polthier, Konrad and Wardetzky, Max
Journal: Geometriae Dedicata, 123(1):89--112
Date: 2006

Quadrisecants give new lower bounds for the ropelength of a knot

Authors: Denne, Elizabeth and Diao, Yuanan and Sullivan, John M.
Journal: Geom. Topol., 10:1--26
Date: 2006
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Papers 2005
Anisotropic smoothing of point sets

Authors: Lange, Carsten and Polthier, Konrad
Journal: Computer Aided Geometric Design, 22(7):680--692
Date: 2005

Sparse multidimensional representation using shearlets

Authors: Labate, D. and Lim, W-Q. and Kutyniok, G. and Weiss, G.
Journal: SPIE Proc. 5914, SPIE, Bellingham, pages 254--262
Date: 2005
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Papers 2004
Using automatic theorem proving to improve the usability of geometry software

Authors: Kortenkamp, U. and Richter-Gebert, J.
In Proceedings: Proceedings of the Mathematical User Interfaces Workshop
Date: 2004

Papers 2003
Surface Reconstruction by Wrapping Finite Sets in Space

Author: Edelsbrunner, Herbert
In Collection: Discrete and Computational Geometry, Springer Berlin Heidelberg
Date: 2003
DOI: 10.1007/978-3-642-55566-4\_17
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Papers 2002
Topological Persistence and Simplification

Authors: Edelsbrunner, Herbert and Letscher, David and Zomorodian, Afra
Journal: Discrete & Computational Geometry, 28(4):511--533
Date: Nov 2002
DOI: 10.1007/s00454-002-2885-2
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Complexity issues in dynamic geometry

Authors: Richter-Gebert, J. and Kortenkamp, U.
In Proceedings: Foundations of Computational Mathematics: Proceedings of the Smalefest 2000, Hong Kong, July 13-17, 2000, World Scientific
Date: 2002

EG-Models - a New Journal for Digital Geometry Models

Authors: Joswig, Michael and Polthier, Konrad
In Collection: Multimedia Tools for Communicating Mathematics, Springer
Date: 2002

On the minimum ropelength of knots and links

Authors: Cantarella, Jason and Kusner, Robert B. and Sullivan, John M.
Journal: Invent. Math., 150:257--286
Date: 2002
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Papers 2001
Grundlagen Dynamischer Geometrie

Authors: Kortenkamp, U. and Richter-Gebert, J.
Journal: Zeichnung--Figur--Zugfigur, pages 123--145
In Collection: Zeichnung - Figur - Zugfigur: Mathematische und didaktische Aspekte Dynamischer Geometrie-Software, Franzbecker
Date: 2001

Quaternionic holomorphic geometry: Plücker formula, Dirac eigenvalue estimates and energy estimates of harmonic 2-tori

Authors: Ferus, D. and Leschke, K. and Pedit, F. and Pinkall, U.
Journal: Inventiones Mathematicae, 146(3):507--593
Date: 2001
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Papers 2000
polymake: a framework for analyzing convex polytopes

Authors: Gawrilow, Ewgenij and Joswig, Michael
In Collection: Polytopes - combinatorics and computation (Oberwolfach, 1997), Birkhäuser
Date: 2000
DOI: 10.1007/978-3-0348-8438-9_2
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Papers 1999
Discretization of surfaces and integrable systems

Authors: Bobenko, A. and Pinkall, U.
In Collection: Discrete integrable geometry and physics, Oxford Univ. Press
Date: 1999
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Papers 1995
The union of balls and its dual shape

Author: Edelsbrunner, H.
Journal: Discrete and Computational Geometry, 13(1):415--440
Date: Dec 1995
DOI: 10.1007/bf02574053
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Papers 1993
Computing discrete minimal surfaces and their conjugates

Authors: Pinkall, U. and Polthier, K.
Journal: Experimental Mathematics, 2(1):15--36
Date: 1993
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Papers 2018
Bifurcation analysis of a stochastically driven limit cycle

Authors: Maximilian Engel, Jeroen S.W. Lamb and Rasmussen, Martin
Journal: o appear in Communications in Mathematical Physics
Date:
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Papers 1998
Bonnet pairs and isothermic surfaces

Authors: Kamberov, G. and Pedit, F. and Pinkall, U.
Journal: Duke Math. J., 92(3):637--644
Date:
DOI: 10.1215/S0012-7094-98-09219-5
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