1
M. Cicalese A. Braides and N.K. Yip. Crystalline Motion of Interfaces Between Patterns. Journal of Statistical Physics October 2016, Volume 165, Issue 2, pp 274–319, October 2016. URL: https://link.springer.com/article/10.1007/s10955-016-1609-6.
2
S. Sechelmann A.I. Bobenko, U. Bücking. Discrete minimal surfaces of Koebe type. In R. Verge-Rebelo D. Levi and P. Winternitz, editors, Modern Approaches to Discrete Curvature, pages 259–291. Springer, 2017.
3
K. Adiprasito and B. Benedetti. Metric geometry, convexity and collapsibility. 2013.
4
K. Adiprasito and B. Benedetti. Subdivisions, shellability, and collapsibility of products. Combinatorica, 2015. accepted, preprint at arxiv.
5
K. Adiprasito and B. Benedetti. Tight complexes in $3$-space admit perfect discrete Morse functions. Eur. J. Comb., 45:71–84, 2015.
6
K. Adiprasito, B. Benedetti, and F. H. Lutz. Extremal examples of collapsible complexes and random discrete Morse theory. 2014. 20 pages.
7
Karim Adiprasito, Philip Brinkmann, Arnau Padrol, Pavel Paták, Zuzana Patáková, and Raman Sanyal. Colorful simplicial depth, Minkowski sums, and generalized Gale transforms. International Mathematics Research Notices, 2017. doi:10.1093/imrn/rnx184.
8
Karim Adiprasito and Arnau Padrol. The universality theorem for neighborly polytopes. Combinatorica, February 2015. accepted, preprint at arxiv.
9
Karim Adiprasito and Arnau Padrol. A universality theorem for projectively unique polytopes and a conjecture of Shephard. Israel J. Math., 211:239–255, 2016.
10
Karim Adiprasito, Arnau Padrol, and Louis Theran. Universality theorems for inscribed polytopes and Delaunay triangulations. Discrete Comput. Geom., 54:412–431, 2015.
11
Karim Adiprasito and Raman Sanyal. Relative Stanley-Reisner theory and Upper Bound Theorems for Minkowski sums. Publ. Math. Inst. Hautes Études Sci., 124:99–163, 2016. doi:10.1007/s10240-016-0083-7.
12
Karim Adiprasito and Raman Sanyal. Whitney numbers of arrangements via measure concentration of intrinsic volumes. Preprint, 2016.
13
Karim Alexander Adiprasito and Bruno Benedetti. The Hirsch conjecture holds for normal flag complexes. preprint, revised April 2013, March 2013.
14
Niklas C Affolter. Miquel Dynamics, Clifford Lattices and the Dimer Model. Preprint at arxiv, August 2018.
15
Arseniy Akopyan and Alexander Bobenko. Incircular nets and confocal conics. Transactions of the American Mathematical Society, 370(4):2825–2854, 2018. doi:10.1090/tran/7292.
16
R. Alicandro, M. Cicalese, and M. Ruf. Domain formation in magnetic polymer composites: an approach via stochastic homogenization. Arch. Rat. Mech. Anal., 218(2):945–984, 2015.
17
Xavier Allamigeon, Pascal Benchimol, Stéphane Gaubert, and Michael Joswig. Tropicalizing the simplex algorithm. SIAM Journal on Discrete Mathematics, 29(2):751–795, 2015. doi:10.1137/130936464.
18
Xavier Allamigeon, Pascal Benchimol, Stéphane Gaubert, and Michael Joswig. Log-barrier interior point methods are not strongly polynomial. SIAM J. Appl. Algebra Geom., 2(1):140–178, 2018. URL: https://doi.org/10.1137/17M1142132, doi:10.1137/17M1142132.
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Stefano Almi and Ilaria Lucardesi. Energy release rate and stress intensity factors in planar elasticity in presence of smooth cracks. Nonlinear Differ. Equ. Appl. (2018) 25: 43., August 2018. doi:10.1007/s00030-018-0536-4.
20
Amir Vaxman, Christian Müller, and Ofir Weber. Canonical Möbius Subdivision. ACM Trans. Graphics (Proc. SIGGRAPH ASIA), 2018. URL: http://www.geometrie.tuwien.ac.at/geom/ig/publications/moebiussubdivision/moebiussubdivision.pdf.
21
Héctor Andrade-Loarca, Gitta Kutyniok, Ozan Öktem, and Philipp Petersen. Extraction of Digital Wavefront Sets using Applied Harmonic Analysis and Deep Neural Networks. preprint, January 2019.
22
Oliver Junge Andres Denner and Daniel Matthes. Computing coherent sets using the Fokker-Planck equation. Journal of Computational Dynamics, 2016, Vol. 3, Issue 2, 2016. doi:10.3934/jcd.2016008.
23
L. Arcidiacono, M. Engel, and C. Kuehn. Discretized Fast-Slow Systems near Pitchfork Singularities. preprint, February 2019.
24
Benjamin Assarf, Ewgenij Gawrilow, Katrin Herr, Michael Joswig, Benjamin Lorenz, Andreas Paffenholz, and Thomas Rehn. Computing convex hulls and counting integer points with $\texttt polymake$. Math. Program. Comput., 9(1):1–38, 2017. URL: http://dx.doi.org/10.1007/s12532-016-0104-z, doi:10.1007/s12532-016-0104-z.
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Benjamin Assarf, Michael Joswig, and Julian Pfeifle. Webs of stars or how to triangulate free sums of point configurations. J. Combin. Theory Ser. A, 159:183–214, 2018. URL: https://doi.org/10.1016/j.jcta.2018.05.007, doi:10.1016/j.jcta.2018.05.007.
26
Dror Atariah. Parameterizations in the Configuration Space and Approximations of Related Surfaces. PhD thesis, Freie Universität Berlin, 2014. URL: http://www.diss.fu-berlin.de/diss/receive/FUDISS\_thesis\_000000096803.
27
Dror Atariah, Günter Rote, and Mathijs Wintraecken. Optimal Triangulation of saddle surfaces. Technical Report, Freie Universität Berlin, 2015.
28
Dominique Attali, Ulrich Bauer, Olivier Devillers, Marc Glisse, and André Lieutier. Homological reconstruction and simplification in $\mathbb R^3$. Computational Geometry, 48(8):606–621, September 2015. URL: http://dx.doi.org/10.1016/j.comgeo.2014.08.010, doi:10.1016/j.comgeo.2014.08.010.
29
Yuen Au Yeung. Crystalline Order, Surface Energy Densities and Wulff Shapes: Emergence from Atomistic Models. PhD thesis, Technische Universität München, München, 2013. URL: http://mediatum.ub.tum.de/node?id=1142127.
30
A. Bach, M. Cicalese, and M. Ruf. Random finite-difference discretizations of the Ambrosio-Tortorelli functional with optimal mesh size. preprint, February 2019.
31
Spencer Backman, Sebastian Manecke, and Raman Sanyal. Cone valuations, Gram's relation, and flag-angles. September 2018. Preprint.
32
R. Badal, M. Cicalese, L. De Luca, and M. Ponsiglione. Gamma-convergence analysis of a generalized XY model: fractional vortices and string defects. Commun. Math. Phys. 358 (2018), no. 2, 705–739, March 2018. URL: https://link.springer.com/article/10.1007/s00220-017-3026-3\#citeas.
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Djordje Baralić, Pavle V. M. Blagojević, Roman Karasev, and Aleksandar Vučić. Index of Grassmann manifolds and orthogonal shadows. Forum Mathematicum, 30(6):1539–1572, July 2018. doi:10.1007/s00454-018-0006-0.
34
Ulrich Bauer and Herbert Edelsbrunner. The Morse Theory of Cech and Delaunay Filtrations. In Proceedings of the Thirtieth Annual Symposium on Computational Geometry, SOCG'14. New York, NY, USA, 2014. ACM. URL: http://dx.doi.org/10.1145/2582112.2582167, doi:10.1145/2582112.2582167.
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Ulrich Bauer and Herbert Edelsbrunner. The Morse theory of Čech and Delaunay complexes. Transactions of the American Mathematical Society, 369(5):3741–3762, 2017. doi:10.1090/tran/6991.
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Ulrich Bauer, Herbert Edelsbrunner, Grzegorz Jablonski, and Marian Mrozek. Persistence in sampled dynamical systems faster. Preprint, September 2017.
37
Ulrich Bauer, Claudia Landi, and Facundo Memoli. The Reeb Graph Edit Distance is Universal. preprint, January 2018.
38
Ulrich Bauer and Michael Lesnick. Induced matchings and the algebraic stability of persistence barcodes. Journal of Computational Geometry, 6(2):162–191, 2015. URL: http://jocg.org/index.php/jocg/article/view/205.
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Ulrich Bauer and Michael Lesnick. Persistence Diagrams as Diagrams: A Categorification of the Stability Theorem. Preprint, November 2016.
40
Ulrich Bauer and Florian Pausinger. Persistent Betti numbers of random Čech complexes. preprint, January 2018.
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Ulrich Bauer, Konrad Polthier, and Max Wardetzky. Uniform Convergence of Discrete Curvatures from Nets of Curvature Lines. Discrete and Computational Geometry, 43(4):798–823, 2010. URL: http://www.springerlink.com/content/84210067816n0m78/.
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Ulrich Bauer and Abhishek Rathod. Hardness of Approximation for Morse Matching. preprint, January 2018.
43
Andrey K. Belyaev, Caroline Lasser, and Giulio Trigila. Landau–Zener type surface hopping algorithms. The Journal of Chemical Physics, 140(22):–, June 2014. URL: http://scitation.aip.org/content/aip/journal/jcp/140/22/10.1063/1.4882073, doi:10.1063/1.4882073.
44
B. Benedetti. Smoothing discrete Morse theory. Annali Sc. Norm. Sup. Cl. Sci., 2015. accepted, preprint at arxiv.
45
B. Benedetti and F. H. Lutz. Random discrete Morse theory and a new library of triangulations. Experimental Mathematics, 23(1):66–94, 2014.
46
Bruno Benedetti and Frank H. Lutz. Knots in Collapsible and Non-Collapsible Balls. Electronic Journal of Combinatorics, August 2013. Paper P31, 29 pages. URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v20i3p31.
47
R.F. Bikbaev, A.I. Bobenko, and A.R. Its. Landau-Lifshitz equation, uniaxial anisotropy case: Theory of exact solutions. Theoretical and Mathematical Physics, 178(2):143–193, February 2014. URL: http://dx.doi.org/10.1007/s11232-014-0135-4, doi:10.1007/s11232-014-0135-4.
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Havard Bakke Bjerkevik and Magnus Bakke Botnan. Computational Complexity of the Interleaving Distance. Proceedings of the 34th International Symposium on Computational Geometry (SoCG 2018), May 2018. doi:10.4230/LIPIcs.SoCG.2018.13.
49
Pavle V. M. Blagojevic, Florian Frick, Albert Haase, and Günter M. Ziegler. Hyperplane mass partitions via relative Equivariant Obstruction Theory. preprint, September 2015.
50
Pavle V. M. Blagojevic, Florian Frick, Benjamin Matschke, and Günter M. Ziegler. Tight and non-tight topological Tverberg type theorems. Oberwolfach Reports, 11(3):2284–2287, 2014.
51
Pavle V. M. Blagojevic, Florian Frick, and Günter M. Ziegler. Tverberg plus constraints. Bulletin of the London Mathematical Society, 46:953–967, 2014. Extended Abstract: Oberwolfach Reports, 11(1):14-16, 2014. URL: http://blms.oxfordjournals.org/cgi/content/abstract/bdu049?ijkey=s0zAd5sXaMm0aIt, doi:10.1112/blms/bdu049.
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Pavle V. M. Blagojevic, Wolfgang Lück, and Günter M. Ziegler. On highly regular embeddings. Preprint, 19 pages; Transactions Amer. Math. Soc. to appear, Extended Abstract: in Proc. "Combinatorial Methods in Topology and Algebra” (CoMeTa), Cortona, May 2013.
53
Pavle V. M. Blagojević, Aleksandra S. Dimitrijević Blagojević, and Günter M. Ziegler. The topological transversal Tverberg theorem plus constraints. 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, march 2016.
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Pavle V. M. Blagojević, Aleksandra S. Dimitrijević Blagojević, and Günter M. Ziegler. Polynomial partitioning for several sets of varieties. J. Fixed Point Theory Appl., 19:1653–1660, 2017.
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Pavle V. M. Blagojević, Florian Frick, Albert Haase, and Günter M. Ziegler. Hyperplane mass partitions via relative equivariant obstruction theory. Documenta Mathematica, 21:735–771, 2016. URL: http://emis.ams.org/journals/DMJDMV/vol-21/20.pdf.
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Pavle V. M. Blagojević, Albert Haase, and Günter M. Ziegler. Tverberg-type theorems for matroids: A counterexample and a proof. Preprint, 2017.
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Pavle V. M. Blagojević, Albert Haase, and Günter M. Ziegler. Tverberg-Type Theorems for Matroids: A Counterexample and a Proof. Combinatorica, February 2019. URL: https://doi.org/10.1007/s00493-018-3846-6, doi:10.1007/s00493-018-3846-6.
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Pavle V. M. Blagojević, Nevena Palić, and Günter M. Ziegler. Cutting a part from many measures. Preprint, 15 pages, October 2017.
59
Pavle V. M. Blagojević, Günter Rote, Johanna Steinmeyer, and Günter M. Ziegler. Convex equipartitions of colored point sets. Discrete Comput. Geometry, December 2017. Published online.
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Pavle V. M. Blagojević, Günter Rote, Johanna K. Steinmeyer, and Günter M. Ziegler. Convex Equipartitions of Colored Point Sets. Discrete & Computational Geometry, 61(2):355–363, March 2019. URL: https://doi.org/10.1007/s00454-017-9959-7, doi:10.1007/s00454-017-9959-7.
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Pavle V. M. Blagojević and Pablo Soberón. Thieves can make sandwiches. preprint, September 2017. doi:10.1112/blms.12109.
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Pavle V. M. Blagojević and Günter M. Ziegler. Beyond the Borsuk-Ulam Theorem: The Topological Tverberg Story. In Martin Loebl, Jaroslav Nešetřil, and Robin Thomas, editors, Journey Through Discrete Mathematics. A Tribute to Jiří Matoušek, pages 273–341. Springer, May 2017. doi:10.1007/978-3-319-44479-6\_11.
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A. Bobenko, T. Hoffmann, and B. Springborn. Minimal surfaces from circle patterns: Geometry from combinatorics. Ann. of Math., 164(1):231–264, 2006.
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A. Bobenko and U. Pinkall. Discretization of surfaces and integrable systems. In Discrete integrable geometry and physics, volume 16 of Oxford Lecture Ser. Math. Appl., pages 3–58. Oxford Univ. Press, 1999. URL: http://page.math.tu-berlin.de/\textasciitilde bobenko/papers/1999\_Bob\_Pin.pdf.
65
A. I. Bobenko, N. Dimitrov, and S. Sechelmann. Discrete uniformization of finite branched covers over the Riemann sphere via hyper-ideal circle patterns. 2015.
66
A. I. Bobenko and F. Günther. Discrete complex analysis on planar quad-graphs. In A. I. Bobenko, editor, Advances in Discrete Differential Geometry. Springer, 2016.
67
A. I. Bobenko and T. Hoffmann. S-conical cmc surfaces. Towards a unified theory of discrete surfaces with constant mean curvature. In A. I. Bobenko, editor, Advances in Discrete Differential Geometry. Springer, 2016.
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A. I. Bobenko, T. Hoffmann, B. König, and S. Sechelmann. S-conical minimal surfaces. Towards a unified theory of discrete minimal surfaces. Preprint, 2015.
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A. I. Bobenko and A. Its. The asymptotic behaviour of the discrete holomorphic map $Z^a$ via the Riemann-Hilbert method. Duke Math.~J., 2015. accepted.
70
A. I. Bobenko, U. Pinkall, and B. Springborn. Discrete conformal maps and ideal hyperbolic polyhedra. Geom. Topol., 19:2155–2215, 2015. doi:10.2140/gt.2015.19.2155.
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A. I. Bobenko and W. Schief. Discrete line complexes and integrable evolution of minors. Proc. Royal Soc. A, 471(2175):23 pp., 2015. doi:10.1098/rspa.2014.0819.
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A. I. Bobenko, S. Sechelmann, and B. Springborn. Discrete conformal maps: Boundary value problems, circle domains, Fuchsian and Schottky uniformization. In A. I. Bobenko, editor, Advances in Discrete Differential Geometry. Springer, 2016.
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A. I. Bobenko and Yu. B. Suris. Discrete pluriharmonic functions as solutions of linear pluri-Lagrangian systems. Commun. Math. Phys., 336(1):199–215, 2015.
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A.I. Bobenko and B. Springborn. Diskretisierung in Geometrie und Dynamik - Elastische Stäbe und Rauchringe. Mitteilungen der DMV, 21(1):218–224, December 2013. URL: http://www.degruyter.com/view/j/dmvm.2013.21.issue-00004/issue-files/dmvm.2013.21.issue-00004.xml.
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Alexander Bobenko and Mikhail Skopenkov. Discrete Riemann surfaces: linear discretization and its convergence. J. reine und angew. Math., October 2014. doi:10.1515/crelle-2014-0065.
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Alexander Bobenko and Yuri Suris. Integrable linear systems on quad-graphs. 2019.
77
Alexander I Bobenko and Ulrike Bücking. Convergence of discrete period matrices and discrete holomorphic integrals for ramified coverings of the Riemann sphere. Preprint at arXiv, September 2018.
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Alexander I Bobenko, Nikolay Dimitrov, and Stefan Sechelmann. Discrete Uniformization of Polyhedral Surfaces with Non-positive Curvature and Branched Covers over the Sphere via Hyper-ideal Circle Patterns. Discrete & Computational Geometry, 57(2):431–469, 2017.
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Alexander I Bobenko and Felix Günther. Discrete Riemann surfaces based on quadrilateral cellular decompositions. Advances in Mathematics, 311:885–932, 2017. doi:10.1016/j.aim.2017.03.010.
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Alexander I Bobenko, Sebastian Heller, and Nicholas Schmitt. Minimal n-Noids in hyperbolic and anti-de Sitter 3-space. Proceedings A of Royal Society, July 2019. doi:10.1098/rspa.2019.0173.
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Alexander I Bobenko, Emanuel Huhnen-Venedey, and Thilo Rörig. Supercyclidic nets. International Mathematics Research Notices, 2017(2):323–371, February 2017. doi:10.1093/imrn/rnv328.
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Alexander I Bobenko, Helmut Pottmann, and Thilo Rörig. Multi-Nets. Classification of discrete and smooth surfaces with characteristic properties on arbitrary parameter rectangles. Preprint, 2018.
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Alexander I Bobenko and Wolfgang K Schief. Circle complexes and the discrete CKP equation. International Mathematics Research Notices, 2017(5):1504–1561, 2016. doi:10.1093/imrn/rnw021.
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Alexander I Bobenko, Wolfgang K Schief, Yuri B Suris, and Jan Techter. On a Discretization of Confocal Quadrics. A Geometric Approach to General Parametrizations. International Mathematics Research Notices, December 2018. URL: https://doi.org/10.1093/imrn/rny279, arXiv:http://oup.prod.sis.lan/imrn/advance-article-pdf/doi/10.1093/imrn/rny279/27090691/rny279.pdf, doi:10.1093/imrn/rny279.
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Alexander I Bobenko and Ananth Sridhar. Abelian Higgs vortices and discrete conformal maps. Letters in Mathematical Physics, 108(2):249–260, 2018. doi:10.1007/s11005-017-1004-5.
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Alexander I. Bobenko and Alexander Y. Fairley. Nets of lines with the combinatorics of the square grid and with touching inscribed conics. preprint, November 2019.
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Alexander I. Bobenko and Felix Günther. On Discrete Integrable Equations with Convex Variational Principles. Letters in Mathematical Physics, 102(2):181–202, September 2012. URL: http://dx.doi.org/10.1007/s11005-012-0583-4, doi:10.1007/s11005-012-0583-4.
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Alexander I. Bobenko and Felix Günther. Discrete complex analysis – the medial graph approach. Actes des rencontres du CIRM 3 no. 1: Courbure discrète: théorie et applications, pages 159–169, 2013. URL: http://acirm.cedram.org/acirm-bin/fitem?id=ACIRM\_2013\_\_3\_1\_159\_0, doi:10.5802/acirm.65.
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Alexander I. Bobenko, Udo Hertrich-Jeromin, and Inna Lukyanenko. Discrete constant mean curvature nets in space forms: Steiner's formula and Christoffel duality. Discrete and Computational Geometry, 52(4):612–629, 2014. doi:10.1007/s00454-014-9622-5.
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Alexander I. Bobenko, Tim Hoffmann, and Thilo Rörig. Orthogonal ring patterns. preprint, November 2019.
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Alexander I. Bobenko, Carl O. R. Lutz, Helmut Pottmann, and Jan Techter. Laguerre geometry in space forms and incircular nets. preprint, November 2019.
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Alexander I. Bobenko and Pascal Romon. Discrete CMC surfaces in $\mathbb R^3$ and discrete minimal surfaces in $\mathbb S^3$: a discrete Lawson correspondence. Journal of Integrable Systems, 2(1):1–18, May 2017. URL: https://academic.oup.com/integrablesystems/article/2/1/xyx010/4344752.
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Alexander I. Bobenko, Wolfgang K. Schief, Yuri B. Suris, and Jan Techter. On a discretization of confocal quadrics. I. An integrable systems approach. Journal of Integrable Systems, 1(1):xyw005, 2016. doi:10.1093/integr/xyw005.
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Alexander I. Bobenko, Wolfgang K. Schief, and Jan Techter. Checkerboard incircular nets: Laguerre geometry and parametrisation. Geometriae Dedicata, April 2019. doi:10.1007/s10711-019-00449-x.
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Alexander I. Bobenko and Boris A. Springborn. A discrete Laplace-Beltrami operator for simplicial surfaces. Discrete Comput. Geom., 38(4):740–756, 2007. doi:10.1007/s00454-007-9006-1.
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B. Bodmann, A. Flinth, and G. Kutyniok. Compressed Sensing for Analog Signals. preprint, March 2018.
97
B. G. Bodmann, P. G. Casazza, and G. Kutyniok. A Quantitative Notion of Redundancy for Finite Frames. Appl. Comput. Harmon. Anal., 30:348–362, 2011.
98
B. G. Bodmann, G. Kutyniok, and X. Zhuang. Coarse Quantization with the Fast Digital Shearlet Transform. In Wavelets and Sparsity XIV (San Diego, CA, 2011), SPIE Proc., volume 8138, 8138OZ–1 – 8138OZ–10. SPIE, Bellingham, WA, 2011. doi:10.1117/12.892720.
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Bernhard G. Bodmann, Gitta Kutyniok, and Xiaosheng Zhuang. Gabor Shearlets. Appl. Comput. Harmon. Anal., March 2013. submitted. URL: http://www.math.tu-berlin.de/fileadmin/i26\_fg-kutyniok/Kutyniok/Papers/GaborShearlets.pdf.
100
R. Boll. Two-dimensional variational systems on the root lattice $Q(A_N)$. preprint, 2016.
101
R. Boll, M. Petrera, and Yu. B. Suris. Multi-time Lagrangian 1-forms for families of Bäcklund transformations. Relativistic Toda-type systems. J. Phys. A: Math. Theor., 46(27):275024, 26 pp., 2013. URL: http://dx.doi.org/10.1088/1751-8113/46/27/275204, doi:10.1088/1751-8113/46/27/275204.
102
R. Boll, M. Petrera, and Yu. B. Suris. On integrability of discrete variational systems: Octahedron relations. Internat. Math. Res. Notes, 2015:rnv140, 24 pp., 2015.
103
R. Boll, M. Petrera, and Yu. B.. Suris. On the variational interpretation of the discrete KP equation. In A.I. Bobenko, editor, Advances in Discrete Differential Geometry. Springer, Berlin-Heidelberg-New York, 2016.
104
Raphael Boll. On Bianchi permutability of Bäcklund transformations for asymmetric quad-equations. Journal of Nonlinear Mathematical Physics, 20(4):577–605, December 2013. URL: http://dx.doi.org/10.1080/14029251.2013.865829, doi:10.1080/14029251.2013.865829.
105
Raphael Boll, Matteo Petrera, and Yuri B. Suris. What is integrability of discrete variational systems? Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, February 2014. URL: http://rspa.royalsocietypublishing.org/content/470/2162/20130550.abstract, arXiv:http://rspa.royalsocietypublishing.org/content/470/2162/20130550.full.pdf+html, doi:10.1098/rspa.2013.0550.
106
Ciprian S. Borcea and Ileana Streinu. Kinematics of Expansive Planar Periodic Mechanisms. Advances in Robot Kinematics (ARK'14), July 2014. preprint.
107
Ciprian S. Borcea and Ileana Streinu. Liftings and stresses for planar periodic frameworks. in Proc. 30th Symposium on Computational Geometry (SoCG'14), June 2014. preprint.
108
Stefan Born, Ulrike Bücking, and Boris Springborn. Quasiconformal Dilatation of Projective Transformations and Discrete Conformal Maps. Discrete & Computational Geometry, 57(2):305–317, 2017.
109
F. Bornemann, A. Its, S. Olver, and G. Wechslberger. Numerical Methods for the Discrete Map $Z^a$. In A. I. Bobenko, editor, Advances in Discrete Differential Geometry. Springer, 2016.
110
Folkmar Bornemann. A note on the expansion of the smallest eigenvalue distribution of the LUE at the hard edge. The Annals of Applied Probability, 26(3):1942–1946, 2016. doi:10.1214/15-AAP1121.
111
Folkmar Bornemann and Michael La Croix. The Singular Values of the GOE. Random Matrices: Theory Appl. 04, 1550009 (2015) (32 pages), June 2015. doi:10.1142/S2010326315500094.
112
Folkmar Bornemann and Peter J Forrester. Singular values and evenness symmetry in random matrix theory. In Forum Mathematicum, volume 28, 873–891. 2016. doi:10.1515/forum-2015-0055.
113
Folkmar Bornemann, Peter J. Forrester, and Anthony Mays. Finite Size Effects for Spacing Distributions in Random Matrix Theory: Circular Ensembles and Riemann Zeros. Studies in Applied Mathematics, 138(4):401–437, 2017. URL: http://dx.doi.org/10.1111/sapm.12160, doi:10.1111/sapm.12160.
114
Magnus Bakke Botnan and Michael Lesnick. Algebraic Stability of Zigzag Persistence Modules. Algebr. Geom. Topol., Volume 18, Number 6 (2018), 3133-3204, December 2018. URL: https://msp.org/scripts/coming.php?jpath=agt, doi:10.2140/agt.2018.18.3133.
115
P. Boufounos, G. Kutyniok, and H. Rauhut. Sparse Recovery from Combined Fusion Frame Measurements. IEEE Trans. Inform. Theory, 57:3864–3876, 2011.
116
A. Braides and M. Cicalese. Interfaces, modulated phases and textures in lattice systems. Arch. Rat. Mech. Anal., 223, (2017), 977-1017, February 2017. URL: https://link.springer.com/article/10.1007/s00205-016-1050-7.
117
A. Braides, M. Cicalese, and M. Ruf. Continuum limit and stochastic homogenization of discrete ferromagnetic thin films. Analysis & PDE, (2018), vol. 11, no.2, 499-553., March 2018. URL: https://msp.org/apde/2018/11-2/p06.xhtml.
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Simon Hampe, Michael Joswig, and Benjamin Schröter. Algorithms for Tight Spans and Tropical Linear Spaces. Journal of Symbolic Computation, 2018. Proceedings of MEGA 2017. doi:10.1016/j.jsc.2018.06.016.
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Marcel Padilla, Albert Chern, Felix Knöppel, Ulrich Pinkall, and Peter Schröder. On Bubble Rings and Ink Chandeliers. ACM Trans. Graph. 38, 4, Article 129, July 2019. doi:10.1145/3306346.3322962.
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Arnau Padrol. Many neighborly polytopes and oriented matroids. Discrete Comput. Geom., 50(4):865–902, December 2013. doi:10.1007/s00454-013-9544-7.
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Arnau Padrol and Julian Pfeifle. Polygons as slices of higher-dimensional polytopes. Preprint, April 2014.
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Arnau Padrol and Louis Theran. Delaunay triangulations with disconnected realization spaces. In Siu-Wing Cheng and Olivier Devillers, editors, 30th Annual Symposium on Computational Geometry, SOCG'14, Kyoto, Japan, June 08 - 11, 2014, 163 – 170. ACM, 2014. URL: http://doi.acm.org/10.1145/2582112.2582119, doi:10.1145/2582112.2582119.
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Arnau Padrol and Günter M Ziegler. Six topics on inscribable polytopes. In Advances in Discrete Differential Geometry, pages 407–419. Springer, 2016. doi:10.1007/978-3-662-50447-5\_13.
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Hao Pan, Yi-King Choi, Yang Liu, Wenchao Hu, Qiang Du, Konrad Polthier, Caiming Zhang, and Wenping Wang. Robust Modeling of Constant Mean Curvature Surfaces. ACM Trans. Graph., 31(4):85:1–85:11, July 2012. URL: http://doi.acm.org/10.1145/2185520.2185581, doi:10.1145/2185520.2185581.
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Tatiana Pavljukevich. Spinor representation of Bryant surfaces with catenoidal and smooth ends. PhD thesis, TU Berlin, 2014.
366
D. Pellis, M. Kilian, F. Dellinger, J. Wallner, and H. Pottmann. Visual Smoothness of polyhedral surfaces. ACM Trans. Graphics, 2019. URL: http://hdl.handle.net/10754/653104.
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Davide Pellis and Helmut Pottmann. Aligning principal stress and curvature directions. Advances in Architectural Geometry, pages 34–53, 2018.
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Chi-Han Peng, Helmut Pottmann, and Peter Wonka. Designing patterns using triangle-quad hybrid meshes. ACM Trans. Graphics, 37(4):14, 2018. Proc. SIGGRAPH.
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Philipp Petersen. Shearlet approximation of functions with discontinuous derivatives. preprint, August 2015.
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Philipp Petersen and Mones Raslan. Approximation properties of shearlet frames for Sobolev spaces. preprint, 2017.
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Philipp Petersen and Felix Voigtlaender. Optimal approximation of piecewise smooth functions using deep ReLU neural networks. Neural Networks, 108:296–330, 2018. doi:10.1016/j.neunet.2018.08.019.
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M. Petrera and Y. B. Suris. S. Kovalevskaya system, its generalization and discretization. Frontiers of Mathematics in China, 2013, 8, No. 5, p. 1047-1065, August 2012. doi:10.1007/s11464-013-0305-y.
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M. Petrera and Y. B. Suris. Spherical geometry and integrable systems. Geometriae Dedicata, August 2012. doi:10.1007/s10711-013-9843-4.
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Matteo Petrera. Mathematical Physics I: Dynamical Systems and Classical Mechanics. Lecture Notes. Logos Verlag Berlin GmbH, 2013. ISBN 978-3-8325-3569-8. URL: http://www.logos-verlag.de/cgi-bin/engbuchmid?isbn=3569\&lng=deu\&id=.
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Matteo Petrera. Mathematical Physics II: Classical Statistical Mechanics. Lecture Notes. Logos Verlag Berlin GmbH, 2014. ISBN 978-3-8325-3719-7. URL: http://www.logos-verlag.de/cgi-bin/engbuchmid?isbn=3719\&lng=deu\&id=.
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Matteo Petrera. Mathematical Physics III - Integrable Systems of Classical Mechanics. Lecture Notes. Logos Verlag Berlin GmbH, 2015. ISBN 978-3-8325-3950-4. URL: http://www.logos-verlag.de/cgi-bin/engbuchmid?isbn=3950\&lng=deu\&id=.
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Matteo Petrera, Andreas Pfadler, and Yuri B Suris. On the construction of elliptic solutions of integrable birational maps. Experimental Mathematics, 26(3):324–341, 2017. doi:10.1080/10586458.2016.1166354.
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Matteo Petrera and Yuri B Suris. A construction of commuting systems of integrable symplectic birational maps. Preprint, 2016.
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Matteo Petrera and Yuri B Suris. A construction of commuting systems of integrable symplectic birational maps. Lie-Poisson case. Preprint, 2016.
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Matteo Petrera and Yuri B Suris. A construction of a large family of commuting pairs of integrable symplectic birational four-dimensional maps. Proceedings of the Royal Society of London A: Mathematical, 2017. doi:10.1098/rspa.2016.0535.
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Matteo Petrera and Yuri B Suris. On the classification of multidimensionally consistent 3D maps. Letters in Mathematical Physics, 107(11):2013–2027, 2017. doi:10.1007/s11005-017-0976-5.
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Matteo Petrera and Yuri B Suris. Variational symmetries and pluri-Lagrangian systems in classical mechanics. Journal of Nonlinear Mathematical Physics, 24(sup1):121–145, 2017. doi:10.1080/14029251.2017.1418058.
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Matteo Petrera and Mats Vermeeren. Variational symmetries and pluri-Lagrangian structures for integrable hierarchies of PDEs. 2019.
384
Matteo Petrera and René Zander. New classes of quadratic vector fields admitting integral-preserving Kahan–Hirota–Kimura discretizations. Journal of Physics A: Mathematical and Theoretical, 50(20):205203, 2017. doi:10.1088/1751-8121/aa6a0f.
385
U. Pinkall and K. Polthier. Computing discrete minimal surfaces and their conjugates. Experimental Mathematics, 2(1):15–36, 1993. URL: http://www.cs.jhu.edu/\textasciitilde misha/Fall09/Pinkall93.pdf.
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Ulrich Pinkall and Boris Springborn. A discrete version of Liouville's theorem on conformal maps. Preprint, 2019.
387
Ulrich Pinkall and Jonas Tervooren. A Weierstrass representation for 2D elasticity. preprint, June 2017.
388
Simon Plazotta. A BDF2-Approach for the Non-linear Fokker-Planck Equation. preprint, January 2018.
389
Simon Plazotta. A BDF2-approach for the non-linear Fokker-Planck equation. AIMS Discrete and Continuous Dynamical Systems - Series A (DCDS-A, Vol. 39, no. 5, May 2019 regular issue), May 2019. doi:10.3934/dcds.2019120.
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Simon Plazotta and Jonathan Zinsl. High-frequency limit of non-autonomous gradient flows of functionals with time-periodic forcing. Journal of Differential Equations, Vol. 261, Issue 12, 15 December 2016, Pages 6806-6855, December 2016. doi:10.1016/j.jde.2016.09.003.
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K. Poelke and K. Polthier. Domain Coloring of Complex Functions: An Implementation-Oriented Introduction. IEEE Computer Graphics and Applications, 32(5):90–97, 2012. doi:10.1109/MCG.2012.100.
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Konrad Polthier and Faniry Razafindrazaka. Discrete Geometry for Reliable Surface Quad-Remeshing. In Robert S. Anderssen, Philip Broadbridge, Yasuhide Fukumoto, Kenji Kajiwara, Tsuyoshi Takagi, Evgeny Verbitskiy, and Masato Wakayama, editors, Applications + Practical Conceptualization + Mathematics = fruitful Innovation, volume 11 of Mathematics for Industry, pages 261–275. Springer Japan, 2016. URL: http://dx.doi.org/10.1007/978-4-431-55342-7\_22, doi:10.1007/978-4-431-55342-7\_22.
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Helmut Pottmann, Michael Eigensatz, Amir Vaxman, and Johannes Wallner. Architectural Geometry. Computers and Graphics, 47:145–164, 2015. URL: http://www.geometrie.tugraz.at/wallner/survey.pdf, doi:10.1016/j.cag.2014.11.002.
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Helmut Pottmann, Caigui Jiang, Mathias Höbinger, Jun Wang, Philippe Bompas, and Johannes Wallner. Cell packing structures. Computer-Aided Design, 2014. to appear. Special issue on Material Ecology. doi:10.1016/j.cad.2014.02.009.
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Helmut Pottmann and Johannes Wallner. Geometry and freeform architecture. In Wolfgang König, editor, Mathematics and Society, pages 131–151. EMS, 2016. doi:http://dx.doi.org/10.4171/164.
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Jürgen Richter-Gebert Qingchun Ren and Bernd Sturmfels. Cayley-Bacharach Formulas. The American Mathematical Monthly, 122(9):845–854, 2015.
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A. Garroni R. Alicandro, L. De Luca and M. Ponsiglione. Metastability and dynamics of discrete topological singularities in two dimensions: a Gamma-convergence approach. Archive for Rational Mechanics and Analysis, 214(1):269–330, 2014.
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Michael Rabinovich, Tim Hoffmann, and Olga Sorkine-Hornung. Discrete Geodesic Nets for Modeling Developable Surfaces. ACM Trans. Graph., 37(2):16:1–16:17, July 2018. doi:10.1145/3180494.
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Michael Rabinovich, Tim Hoffmann, and Olga Sorkine-Hornung. The Shape Space of Discrete Orthogonal Geodesic Nets. ACM Trans. Graph., Vol. 37, No. 6, Article 228, November 2018. URL: http://igl.ethz.ch/projects/dog-space/Shape-Space-Of-DOGS-SA-2018-Rabinovich.pdf, doi:10.1145/3272127.3275088.
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Faniry Razafindrazaka and Konrad Polthier. Regular Map Smoothing. IMAGEN-A, March 2013. URL: http://munkres.us.es/Volume3/Volumen3/N\_5\_files/5.4.pdf.
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Faniry Razafindrazaka and Konrad Polthier. The 6-ring. In George W. Hart and Reza Sarhangi, editors, Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture, 279–286. Phoenix, Arizona, 2013. Tessellations Publishing. URL: http://archive.bridgesmathart.org/2013/bridges2013-279.html.
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Faniry Razafindrazaka and Konrad Polthier. Regular Surfaces and Regular Maps. In George Hart Gary Greenfield and Reza Sarhangi, editors, Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture, 225–234. Phoenix, Arizona, 2014. Tessellations Publishing. URL: http://archive.bridgesmathart.org/2014/bridges2014-225.html.
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Faniry Razafindrazaka and Konrad Polthier. Realization of Regular Maps Large Genus, pages 239–252. Springer Berlin Heidelberg, 2015. URL: http://page.mi.fu-berlin.de/faniry/files/faniryTSCD2015.pdf, doi:10.1007/978-3-662-44900-4\_14.
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Faniry H. Razafindrazaka, Ulrich Reitebuch, and Konrad Polthier. Perfect Matching Quad Layouts for Manifold Meshes. Computer Graphics Forum (proceedings of EUROGRAPHICS Symposium on Geometry Processing), 2015. URL: http://www.mi.fu-berlin.de/en/math/groups/ag-geom/publications/db/2015\_RRP\_PerfectMatchingQuadLayoutsForManifoldMeshes\_New.pdf.
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R. Reisenhofer, S. Bosse, G. Kutyniok, and T. Wiegand. A Haar Wavelet-Based Perceptual Similarity Index for Image Quality Assessment. Signal Proc. Image Comm., 61:33–43, February 2018. doi:10.1016/j.image.2017.11.001.
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J. Richter-Gebert. Perspectives on Projective Geometry: A Guided Tour Through Real and Complex Geometry. Springer, 2011.
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J. Richter-Gebert and U. Kortenkamp. Complexity issues in dynamic geometry. In M. Rojas and F. Cucker, editors, Foundations of Computational Mathematics: Proceedings of the Smalefest 2000, Hong Kong, July 13-17, 2000, 355–404. Singapore, 2002. World Scientific.
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J. Richter-Gebert and U. Kortenkamp. The power of scripting: DGS meets programming. Acta didactica Napocensia, 3(2):67–78, 2010.
409
J. Richter-Gebert and U. Kortenkamp. The Cinderella.2 Manual: Working with The Interactive Geometry Software. Springer, 2012.
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Jürgen Richter-Gebert. Touch und Tablet: Stationen einer Designstudie. Heintz, G., Pinkernell, G., Schacht, F. (Hrsg.): Digitale Werkzeuge für den Mathematikunterricht. Festschrift für Hans-Jürgen Elschenbroich, 2015. URL: http://science-to-touch.com/articles.
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Matthias Ruf. Motion of discrete interfaces in low-contrast random environments. ESAIM: COCV, Volume 24, Number 3, July–September 2018, October 2017. doi:10.1051/cocv/2017067.
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Thilo Rörig, Stefan Sechelmann, Agata Kycia, and Moritz Fleischmann. Surface panelization using periodic conformal maps. In Philippe Block, Jan Knippers, Niloy Mitra, and Wenping Wang, editors, Advances in Architectural Geometry 2014. Springer, September 2014. Best Paper Award.
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U. Pinkall S. Weissmann and P. Schröder. Smoke rings from smoke. ACM Transactions on Graphics, 33, 2014.
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Manuele Santoprete, Jürgen Scheurle, and Sebastian Walcher. Motion in a Symmetric Potential on the Hyperbolic Plane. Canadian J. of Mathematics, August 2013. 27 pages. doi:10.4153/CJM-2013-026-2.
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Raman Sanyal and Christian Stump. Lipschitz polytopes of posets and permutation statistics. Preprint, 2017.
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Felix Krahmer Sara Krause-Solberg, Olga Graf. One-bit sigma-delta modulation on a closed loop. poster, november 2018.
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Katharina Schaar. Fundamental Properties of Phirotopes. PhD Dissertation, July 2017. URL: http://mediatum.ub.tum.de/603815?show\_id=1341483.
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Jürgen Scheurle and Sebastian Walcher. Minima of invariant functions: The inverse problem. Acta Applicandae Mathematicae, 137(1):233-252, 2015. accepted for publication by Acta Applicandae Mathematicae. doi:10.1007/s10440-014-9997-6.
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Eike Schling, Martin Kilian, Hui Wang, Denis Schikore, and Helmut Pottmann. Design and construction of curved support structures with repetitive parameters. In Lars Hesselgren, Axel Kilian, Samar Malek, Karl-Gunnar Olsson, Olga Sorkine-Hornung, and Chris Williams, editors, Advances in Architectural Geometry, pages 140–165. Klein Publishing Ltd, 2018.
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Stefan Sechelmann. Variational Methods for Discrete Surface Parameterization. Applications and Implementation. PhD thesis, TU Berlin, June 2016. URL: http://dx.doi.org/10.14279/depositonce-5415.
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Stefan Sechelmann, Thilo Rörig, and Alexander I. Bobenko. Quasiisothermic Mesh Layout. In Lars Hesselgren, Shrikant Sharma, Johannes Wallner, Niccolo Baldassini, Philippe Bompas, and Jacques Raynaud, editors, Advances in Architectural Geometry 2012, pages 243–258. Springer Vienna, 2013. URL: http://dx.doi.org/10.1007/978-3-7091-1251-9\_20, doi:10.1007/978-3-7091-1251-9\_20.
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Christoph Seidel, Thilo Rörig, and Stefan Sechelmann. Planar quad layout on NURBS-surfaces from symmetric conjugate curves. September 2014. Presented at Advances in Architectural Geometry 2014.
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Ling Shi, Jun Wang, and Helmut Pottmann. Smooth surfaces from rational bilinear patches. Comput. Aided Geom. Design, 31(1):1–12, 2014. doi:10.1016/j.cagd.2013.11.001.
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Hannah Sjöberg and Günter M. Ziegler. Semi-algebraic sets of $f$-vectors. Preprint, November 2017.
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Hannah Sjöberg and Günter M. Ziegler. Characterizing face and flag vector pairs for polytopes. Preprint, March 2018.
426
Martin Skrodzki. Neighborhood Computation of Point Set Surfaces. Master's thesis, Freie University Berlin, 2014.
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Gard Spreemann, Benjamin Dunn, Magnus Bakke Botnan, and Nils A. Baas. Using persistent homology to reveal hidden covariates in systems governed by the kinetic Ising model. Journal: Phys. Rev. E 97, 032313, March 2018. doi:10.1103/PhysRevE.97.032313.
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B. Springborn. The hyperbolic geometry of Markov's theorem on Diophantine approximation and quadratic forms. Enseign. Math., 63(3-4):333–373, 2017. doi:10.4171/LEM/63-3/4-5.
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B. Springborn, P. Schröder, and U. Pinkall. Conformal equivalence of triangle meshes. ACM Transactions on Graphics, 2008. URL: http://www.multires.caltech.edu/pubs/ConfEquiv.pdf, doi:10.1145/1360612.1360676.
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Boris Springborn. A variational principle for weighted Delaunay triangulations and hyperideal polyhedra. J. Differential Geom., 78(2):333–367, 2008. URL: http://projecteuclid.org/euclid.jdg/1203000270.
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Boris Springborn. Hyperbolic polyhedra and discrete uniformization. preprint, July 2017.
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Boris Springborn. Ideal Hyperbolic Polyhedra and Discrete Uniformization. Discrete Comput. Geom., September 2019. doi:10.1007/s00454-019-00132-8.
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Ananth Sridhar and Yuri B Suris. Commutativity in Lagrangian and Hamiltonian mechanics. J. Geom. Phys., 137:154–161, 2019. doi:10.1016/j.geomphys.2018.09.019.
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Sandro Belz Stefano Almi. Consistent Finite-Dimensional Approximation of Phase-Field Models of Fracture. preprint, July 2017.
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Michael Strobel. First Steps in Non-standard Projective Geometry. Preprint, March 2018.
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Michael Strobel. Non-standard Analysis in Dynamic Geometry. Journal of Symbolic Computation: Special Issue on Dynamic Geometry and Automated Reasoning, January 2018.
437
Xian Sun, Caigui Jiang, Johannes Wallner, and Helmut Pottmann. Vertex normals and face curvatures of triangle meshes. In A. I. Bobenko, editor, Advances in Discrete Differential Geometry. Springer, 2016.
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Yu. B. Suris. Variational formulation of commuting Hamiltonian flows: multi-time Lagrangian 1-forms. J. Geometric Mechanics, 5(3):365–379, 2013. URL: http://dx.doi.org/10.3934/jgm.2013.5.365, doi:10.3934/jgm.2013.5.365.
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Yu. B. Suris. Variational symmetries and pluri-Lagrangian systems. In Th. Hagen, F. Rupp, and J. Scheurle, editors, Dynamical Systems, Number Theory and Applications: A Festschrift in Honor of Professor Armin Leutbecher's 80th Birthday. World Scientific, Singapore, 2015.
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Yu. B. Suris and M. Vermeeren. On the Lagrangian structure of integrable hierarchies. In A.I. Bobenko, editor, Advances in Discrete Differential Geometry. Springer, Berlin-Heidelberg-New York, 2016.
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Yuri B. Suris. Billiards in confocal quadrics as a pluri-Lagrangian system. Theoretical and Applied Mechanics, 43(2):221–228, 2016. doi:10.2298/TAM160304008S.
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Chengcheng Tang, Pengbo Bo, Johannes Wallner, and Helmut Pottmann. Interactive design of developable surfaces. ACM Trans. Graphics, 2015. accepted.
443
Chengcheng Tang, Martin Kilian, Pengbo Bo, Johannes Wallner, and Helmut Pottmann. Analysis and design of curved support structures. In Sigrid Adriaenssens, Fabio Gramazio, Matthias Kohler, Achim Menges, and Mark Pauly, editors, Advances in Architectural Geometry 2016, pages 8–23. VDF Hochschulverlag, ETH Zürich, 2016.
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Chengcheng Tang, Xiang Sun, Alexandra Gomes, Johannes Wallner, and Helmut Pottmann. Form-finding with Polyhedral Meshes Made Simple. ACM Trans. Graphics, 33(4):$\\#$70,1–9, 2014. Proc. SIGGRAPH. doi:10.1145/2601097.2601213.
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Jeroen S.W. Lamb Thai Son Doan, Maximilian Engel and Martin Rasmussen. Hopf bifurcation with additive noise. Nonlinearity 31 (2018), no. 10, 4567–4601, October 2017.
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Amir Vaxman, Christian Müller, and Ofir Weber. Conformal mesh deformations with Möbius transformations. ACM Transactions on Graphics (TOG), 34(4):55, 2015. URL: http://www.geometrie.tuwien.ac.at/geom/ig/publications/2015/conformal2015/conformal2015.pdf.
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Amir Vaxman, Christian Müller, and Ofir Weber. Regular meshes from polygonal patterns. ACM Transactions on Graphics (TOG), 36(4):113, 2017. doi:10.1145/3072959.3073593.
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M. Vermeeren. A dynamical solution to the Basel problem. arXiv:1506.05288 [math.CA], 2015.
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M. Vermeeren. Modified equations for variational integrators. arXiv:1505.05411 [math.NA], 2015.
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Mats Vermeeren. A variational perspective on continuum limits of ABS and lattice GD equations. SIGMA Symmetry Integrability Geom. Methods Appl., 15:044, 2019. doi:10.3842/SIGMA.2019.044.
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Mats Vermeeren. Continuum limits of pluri-Lagrangian systems. J. Integrable Syst., 4(1):1–34, February 2019. arXiv:http://arxiv.org/abs/1706.06830, doi:10.1093/integr/xyy020.
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Mats Vermeeren. Modified equations for variational integrators applied to Lagrangians linear in velocities. J. Geom. Mech., 11(1):1–22, March 2019. doi:10.3934/jgm.2019001.
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Mats Vermeeren, Alessandro Bravetti, and Marcello Seri. Contact variational integrators. Journal of Physics A: Mathematical and Theoretical, 52(44):445206, 2019. doi:10.1088/1751-8121/ab4767.
454
Dominic Volland. A Discrete Hilbert Transform with Circle Packings. Springer Spektrum, Weisbaden, 2017. ISBN 978-3-658-20456-3/pbk; 978-3-658-20457-0/ebook. doi:10.1007/978-3-658-20457-0.
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Christoph von Tycowicz, Christian Schulz, Hans-Peter Seidel, and Klaus Hildebrandt. An Efficient Construction of Reduced Deformable Objects. ACM Trans. Graph., 32(6):213:1–213:10, November 2013. URL: http://doi.acm.org/10.1145/2508363.2508392, doi:10.1145/2508363.2508392.
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Masato Wakayama, Robert S. Anderssen, Jin Cheng, Yasuhide Fukumoto, Robert McKibbin, Konrad Polthier, Tsuyoshi Takagi, and Kim-Chuan Toh, editors. The Impact of Applications on Mathematics. Proceedings of the Forum of Mathematics for Industry 2013, Japan, 2014. Springer.
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J. Wang, C. Jiang, P. Bompas, J. Wallner, and H. Pottmann. Discrete Line Congruences for Shading and Lighting. Computer Graphics Forum, 32(5):53–62, 2013. Proc. Symposium Geometry Processing. doi:10.1111/cgf.12172.
458
G. Wechslberger. Automatic Contour Deformation of Riemann-Hilbert Problems. PhD thesis, TU Munich, July 2015.
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Georg Wechslberger and Folkmar Bornemann. Automatic Deformation of Riemann–Hilbert Problems with Applications to the Painlevé II Transcendents. Constructive Approximation, pages 1–21, June 2013. URL: http://dx.doi.org/10.1007/s00365-013-9199-x, doi:10.1007/s00365-013-9199-x.
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S. Weißmann and U. Pinkall. Filament-based smoke with vortex shedding and variational reconnection. ACM Transactions on Graphics, 2010.
461
Steffen Weißmann, Ulrich Pinkall, and Peter Schröder. Smoke Rings from Smoke. ACM Trans. Graph., 33(4):140:1–140:8, July 2014. URL: http://doi.acm.org/10.1145/2601097.2601171, doi:10.1145/2601097.2601171.
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N.S. Witte, F. Bornemann, and P.J. Forrester. Joint distribution of the first and second eigenvalues at the soft edge of unitary ensembles. Nonlinearity, Volume 26, Number 6, pp. 1799-1822, June 2013. doi:10.1088/0951-7715/26/6/1799.
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Zi Ye, Olga Diamanti, Chengcheng Tang, Leonidas Guibas, and Tim Hoffmann. A unified discrete framework for intrinsic and extrinsic Dirac operators for geometry processing. Computer Graphics Forum, 37(5):93–106, August 2018. URL: https://onlinelibrary.wiley.com/doi/abs/10.1111/cgf.13494, doi:10.1111/cgf.13494.
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Y. Au Yeung, G. Friesecke, and B. Schmidt. Minimizing atomic configurations of short range pair potentials in two dimensions: crystallization in the Wulff shape. Calc. Var. PDE, 44:81–100, 2012. URL: https://link.springer.com/article/10.1007/s00526-011-0427-6, doi:10.1007/s00526-011-0427-6.
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Günter M Ziegler and Andreas Loos. “What is Mathematics?” and why we should ask, where one should experience and learn that, and how to teach it. In Proceedings of the 13th International Congress on Mathematical Education, 63–77. Springer, November 2017. doi:10.1007/978-3-319-62597-3\_5.
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Günter M. Ziegler. Additive structures on f-vector sets of polytopes. Advances in Geometry, October 2018. Published online.
467
Günter M. Ziegler and Andreas Loos. Teaching and Learning "What is Mathematics". In Proc. International Congress of Mathematicians, Seoul 2014, volume IV, pages 1201–1215. Kyung Moon Books, Seoul, Korea, 2014.
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Günter M. Ziegler and Andreas Loos. ZEIT-Akademie Mathematik. Zeitverlag Gerd Bucerius, Hamburg, 2014. 4 DVDs mit Begleitheft (95 Seiten).
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Jonathan Zinsl. Geodesically Convex Energies and Confinement of Solutions for a Multi-Component System of Nonlocal Interaction Equations. Submitted, 2014.
470
Jonathan Zinsl and Daniel Matthes. Exponential Convergence to Equilibrium in a Coupled Gradient Flow System Modelling Chemotaxis. Analysis & PDE, 8(2):425–466, 2015.
471
Jonathan Zinsl and Daniel Matthes. Transport Distances and Geodesic Convexity for Systems of Degenerate Diffusion Equations. Calculus of Variations and Partial Differential Equations, 2015. accepted.