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1

Minimal Surfaces from Circle Patterns: Geometry from Combinatorics

Alexander I. Bobenko, Tim Hoffmann and Boris A. Springborn

Journal:

Annals of Mathematics

Year:

2006

Language:

english

File:

PDF, 2.86 MB

english, 2006

2

Variational Principles for Circle Patterns and Koebe's Theorem

Alexander I. Bobenko and Boris A. Springborn

Journal:

Transactions of the American Mathematical Society

Year:

2004

Language:

english

File:

PDF, 3.07 MB

english, 2004

3

The nonlinear Klein-Gordon equation on an interval as a perturbed Sine-Gordon equation

Alexander I. Bobenko, Sergej B. Kuksin

Journal:

Commentarii Mathematici Helvetici

Year:

1995

Language:

english

File:

PDF, 1.81 MB

english, 1995

4

The Painlevé III equation and the Iwasawa decomposition

Alexander Bobenko, Alexander Its

Journal:

manuscripta mathematica

Year:

1995

Language:

english

File:

PDF, 339 KB

english, 1995

5

A curvature theory for discrete surfaces based on mesh parallelity

Alexander I. Bobenko, Helmut Pottmann, Johannes Wallner

Journal:

Mathematische Annalen

Year:

2010

Language:

english

File:

PDF, 534 KB

english, 2010

6

Geometry of multi-layer freeform structures for architecture

Pottmann, Helmut, Liu, Yang, Wallner, Johannes, Bobenko, Alexander, Wang, Wenping

Journal:

ACM Transactions on Graphics

Year:

2007

Language:

english

File:

PDF, 6.48 MB

english, 2007

7

Advances in Discrete Differential Geometry ||

Bobenko, Alexander I.

Year:

2016

Language:

english

File:

PDF, 28.67 MB

english, 2016

8

The asymptotic behavior of the discrete holomorphic map $Z^{a}$ via the Riemann–Hilbert method

Bobenko, Alexander I., Its, Alexander

Journal:

Duke Mathematical Journal

Year:

2016

Language:

english

File:

PDF, 926 KB

english, 2016

9

Discrete Lagrangian Reduction, Discrete Euler–Poincaré Equations, and Semidirect Products

Alexander I. Bobenko, Yuri B. Suris

Journal:

Letters in Mathematical Physics

Year:

1999

Language:

english

File:

PDF, 169 KB

english, 1999

10

Linear and nonlinear theories of discrete analytic functions. Integrable structure and isomonodromic Green’s function

Bobenko, Alexander I., Mercat, Christian, Suris, Yuri B.

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2005

Language:

english

File:

PDF, 407 KB

english, 2005

11

Conformally Symmetric Circle Packings: A Generalization of Doyle's Spirals

Bobenko, Alexander I., Hoffmann, Tim

Journal:

Experimental Mathematics

Year:

2001

Language:

english

File:

PDF, 4.71 MB

english, 2001

12

Hexagonal circle patterns and integrable systems: Patterns with constant angles

Hoffmann, Tim, Bobenko, Alexander I.

Journal:

Duke Mathematical Journal

Year:

2003

Language:

english

File:

PDF, 338 KB

english, 2003

13

Bonnet surfaces and Painlevé equations

Bobenko, Alexander, Eitner, Ulrich

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

1998

Language:

english

File:

PDF, 257 KB

english, 1998

14

[ACM Press ACM SIGGRAPH 2006 Courses - Boston, Massachusetts (2006.07.30-2006.08.03)] ACM SIGGRAPH 2006 Courses on - SIGGRAPH '06 - An algorithm for the construction of intrinsic delaunay triangulations with applications to digital geometry processing

Fisher, Matthew, Springborn, Boris, Bobenko, Alexander I., Schroder, Peter

Year:

2006

Language:

english

File:

PDF, 540 KB

english, 2006

15

10.1090/S0002-9947-03-03239-2

Bobenko, Alexander I., Springborn, Boris A.

Journal:

Transactions of the American Mathematical Society

Year:

2004

Language:

english

File:

PDF, 401 KB

english, 2004

16

Discrete conformal maps and ideal hyperbolic polyhedra

Bobenko, Alexander I, Pinkall, Ulrich, Springborn, Boris A

Journal:

Geometry & Topology

Year:

2015

Language:

english

File:

PDF, 3.96 MB

english, 2015

17

Discrete Riemann surfaces: Linear discretization and its convergence

Bobenko, Alexander, Skopenkov, Mikhail

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2016

Language:

english

File:

PDF, 482 KB

english, 2016

18

Discrete Riemann surfaces based on quadrilateral cellular decompositions

Bobenko, Alexander I., Günther, Felix

Journal:

Advances in Mathematics

Year:

2017

Language:

english

File:

PDF, 879 KB

english, 2017

19

Incircular nets and confocal conics

Akopyan, Arseniy V., Bobenko, Alexander I.

Journal:

Transactions of the American Mathematical Society

Year:

2017

Language:

english

File:

PDF, 1.58 MB

english, 2017

20

Computing Riemann theta functions

Deconinck, Bernard, Heil, Matthias, Bobenko, Alexander, van Hoeij, Mark, Schmies, Marcus

Journal:

Mathematics of Computation

Year:

2003

Language:

english

File:

PDF, 3.80 MB

english, 2003

21

The discrete quantum pendulum

Alexander Bobenko, Nadja Kutz, Ulrich Pinkall

Journal:

Physics Letters A

Year:

1993

Language:

english

File:

PDF, 448 KB

english, 1993

22

On two integrable cellular automata

Alexander Bobenko, Martin Bordemann, Charlie Gunn, Ulrich Pinkall

Journal:

Communications in Mathematical Physics

Year:

1993

Language:

english

File:

PDF, 330 KB

english, 1993

23

Helicoids with handles and Baker-Akhiezer spinors

Alexander I. Bobenko

Journal:

Mathematische Zeitschrift

Year:

1998

Language:

english

File:

PDF, 758 KB

english, 1998

24

Hyperbolic constant mean curvature one surfaces: Spinor representation and trinoids in hypergeometric functions

Alexander I. Bobenko, Tatyana V. Pavlyukevich, Boris A. Springborn

Journal:

Mathematische Zeitschrift

Year:

2003

Language:

english

File:

PDF, 762 KB

english, 2003

25

On asymptotic cones of surfaces with constant curvature and the third Painlevé equation

Alexander I. Bobenko, Alexander V. Kitaev

Journal:

manuscripta mathematica

Year:

1998

Language:

english

File:

PDF, 240 KB

english, 1998

26

A Discrete Laplace–Beltrami Operator for Simplicial Surfaces

Alexander I. Bobenko, Boris A. Springborn

Journal:

Discrete & Computational Geometry

Year:

2007

Language:

english

File:

PDF, 426 KB

english, 2007

27

Integrable Discrete Nets in Grassmannians

Vsevolod Eduardovich Adler, Alexander Ivanovich Bobenko, Yuri Borisovich Suris

Journal:

Letters in Mathematical Physics

Year:

2009

Language:

english

File:

PDF, 231 KB

english, 2009

28

On the Lagrangian Structure of Integrable Quad-Equations

Alexander I. Bobenko, Yuri B. Suris

Journal:

Letters in Mathematical Physics

Year:

2010

Language:

english

File:

PDF, 326 KB

english, 2010

29

[Oberwolfach Seminars] Discrete Differential Geometry Volume 38 || || Front_matter

Bobenko, Alexander I., Sullivan, John M., Schröder, Peter, Ziegler, Günter M.

Year:

2008

File:

PDF, 423 KB

2008

30

Curvature line parametrized surfaces and orthogonal coordinate systems: discretization with Dupin cyclides

Bobenko, Alexander I., Huhnen-Venedey, Emanuel

Journal:

Geometriae Dedicata

Year:

2012

Language:

english

File:

PDF, 1.64 MB

english, 2012

31

On Discrete Integrable Equations with Convex Variational Principles

Bobenko, Alexander I., Günther, Felix

Journal:

Letters in Mathematical Physics

Year:

2012

Language:

english

File:

PDF, 349 KB

english, 2012

32

Isothermic surfaces in sphere geometries as Moutard nets

Bobenko, Alexander I., Suris, Yuri B.

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2007

Language:

english

File:

PDF, 399 KB

english, 2007

33

[Lecture Notes in Mathematics] Painlevé Equations in the Differential Geometry of Surfaces Volume 1753 ||

Bobenko, Alexander I., Eitner, Ulrich

Year:

2000

Language:

english

File:

PDF, 7.45 MB

english, 2000

34

[Lecture Notes in Mathematics] Computational Approach to Riemann Surfaces Volume 2013 || Computing with Plane Algebraic Curves and Riemann Surfaces: The Algorithms of the Maple Package “Algcurves”

Bobenko, Alexander I., Klein, Christian

Year:

2011

Language:

english

File:

PDF, 756 KB

english, 2011

35

[Oberwolfach Seminars] Discrete Differential Geometry Volume 38 ||

Bobenko, Alexander I., Sullivan, John M., Schröder, Peter, Ziegler, Günter M.

Year:

2008

File:

PDF, 423 KB

2008

36

[Lecture Notes in Mathematics] Computational Approach to Riemann Surfaces Volume 2013 ||

Bobenko, Alexander I., Klein, Christian

Year:

2011

Language:

english

File:

PDF, 6.78 MB

english, 2011

37

Isothermic Surfaces in Sphere Geometries as Moutard Nets

Alexander I. Bobenko and Yuri B. Suris

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2007

Language:

english

File:

PDF, 1.89 MB

english, 2007

38

[ACM Press ACM SIGGRAPH 2005 Courses - Los Angeles, California (2005.07.31-2005.08.04)] ACM SIGGRAPH 2005 Courses on - SIGGRAPH '05 - Discrete Willmore flow

Bobenko, Alexander I., Schröder, Peter

Year:

2005

Language:

english

File:

PDF, 488 KB

english, 2005

39

Constant mean curvature surfaces and integrable equations

Bobenko, Alexander I

Journal:

Russian Mathematical Surveys

Year:

1991

Language:

english

File:

PDF, 1.82 MB

english, 1991

40

Affine Spheres: Discretization via Duality Relations

Bobenko, Alexander I., Schief, Wolfgang K.

Journal:

Experimental Mathematics

Year:

1999

Language:

english

File:

PDF, 9.60 MB

english, 1999

41

Algebraic-geometric principles of superposition of finite-zone solutions of integrable non-linear equations

Belokolos, E D, Bobenko, Alexander I, Matveev, V B, Enol'skii, V Z

Journal:

Russian Mathematical Surveys

Year:

1986

Language:

english

File:

PDF, 2.22 MB

english, 1986

42

Discrete constant mean curvature nets in space forms: Steiner’s formula and Christoffel duality

Bobenko, Alexander I., Hertrich-Jeromin, Udo, Lukyanenko, Inna

Journal:

Discrete & Computational Geometry

Year:

2014

Language:

english

File:

PDF, 533 KB

english, 2014

43

[Oberwolfach Seminars] Discrete Differential Geometry Volume 38 || Discrete Differential Forms for Computational Modeling

Bobenko, Alexander I., Sullivan, John M., Schröder, Peter, Ziegler, Günter M.

Year:

2008

Language:

english

File:

PDF, 1.15 MB

english, 2008

44

On organizing principles of discrete differential geometry. Geometry of spheres

Bobenko, Alexander I, Suris, Yury B

Journal:

Russian Mathematical Surveys

Year:

2007

Language:

english

File:

PDF, 446 KB

english, 2007

45

10.1155/S1073792802105113

Bobenko, Alexander, Hoffmann, Tim, Suris, Yuri

Journal:

International Mathematics Research Notices

Year:

2002

Language:

english

File:

PDF, 627 KB

english, 2002

46

Diskretisierung in Geometrie und Dynamik - Elastische Stäbe und Rauchringe

Alexander I., Bobenko, Springborn, Boris

Journal:

Mitteilungen der Deutschen Mathematiker-Vereinigung

Year:

2013

Language:

german

File:

PDF, 557 KB

german, 2013

47

10.1155/s1073792802110075

Bobenko, Alexander, Suris, Yuri

Journal:

International Mathematics Research Notices

Year:

2002

Language:

english

File:

PDF, 366 KB

english, 2002

48

[ACM Press the twenty-fourth annual symposium - College Park, MD, USA (2008.06.09-2008.06.11)] Proceedings of the twenty-fourth annual symposium on Computational geometry - SCG '08 - Delaunay triangulations of polyhedral surfaces, a discrete Laplace-Beltrami operator and applications

Bobenko, Alexander I.

Year:

2008

Language:

english

File:

PDF, 257 KB

english, 2008

49

[ACM Press ACM SIGGRAPH 2007 papers - San Diego, California (2007.08.05-2007.08.09)] ACM SIGGRAPH 2007 papers on - SIGGRAPH '07 - Geometry of multi-layer freeform structures for architecture

Pottmann, Helmut, Liu, Yang, Wallner, Johannes, Bobenko, Alexander, Wang, Wenping

Year:

2007

Language:

english

File:

PDF, 6.48 MB

english, 2007

50

10.1155/S1073792800000118

Agafonov, Sergey, Bobenko, Alexander

Journal:

International Mathematics Research Notices

Year:

2000

Language:

english

File:

PDF, 245 KB

english, 2000

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