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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

hyperbolic space

Babich, M., Bobenko, A.

Journal:

Duke Mathematical Journal

Year:

1993

Language:

english

File:

PDF, 2.28 MB

english, 1993

4

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

5

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

6

Periodic finite-zone solutions of the sine-Gordon equation

Journal:

Functional Analysis and Its Applications

Year:

1984

Language:

english

File:

PDF, 204 KB

english, 1984

7

The Kowalewski top 99 years later: A Lax pair, generalizations and explicit solutions

A. I. Bobenko, A. G. Reyman, M. A. Semenov-Tian-Shansky

Journal:

Communications in Mathematical Physics

Year:

1989

Language:

english

File:

PDF, 2.00 MB

english, 1989

8

Quantum discrete sine-Gordon model at roots of 1: Integrable quantum system on the integrable classical background

V. Bazhanov, A. Bobenko, N. Reshetikhin

Journal:

Communications in Mathematical Physics

Year:

1996

Language:

english

File:

PDF, 1011 KB

english, 1996

9

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

10

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

11

Advances in Discrete Differential Geometry ||

Bobenko, Alexander I.

Year:

2016

Language:

english

File:

PDF, 28.67 MB

english, 2016

12

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

13

Euler equations in the algebras e(3) and so(4). Isomorphisms of integrable cases

Journal:

Functional Analysis and Its Applications

Year:

1986

Language:

english

File:

PDF, 308 KB

english, 1986

14

Integrable surfaces

Journal:

Functional Analysis and Its Applications

Year:

1990

Language:

english

File:

PDF, 143 KB

english, 1990

15

Real algebrogeometric solutions of the Landau-Lifshits equation in prym theta functions

Journal:

Functional Analysis and Its Applications

Year:

1985

Language:

english

File:

PDF, 1009 KB

english, 1985

16

All constant mean curvature tori inR3,S3,H3in terms of theta-functions

Journal:

Mathematische Annalen

Year:

1991

Language:

english

File:

PDF, 1.65 MB

english, 1991

17

Discrete nonlinear hyperbolic equations. Classification of integrable cases

V. E. Adler, A. I. Bobenko, Yu. B. Suris

Journal:

Functional Analysis and Its Applications

Year:

2009

Language:

english

File:

PDF, 220 KB

english, 2009

18

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

19

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

20

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

21

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

22

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

23

[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

24

Lax representation and new formulae for the Goryachev-Chaplygin top

A. I. Bobenko, V. B. Kuznetsov

Year:

1988

Language:

english

File:

PDF, 357 KB

english, 1988

25

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

26

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

27

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

28

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

29

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

30

Circulating miRNAs as a prognostic tool for heart failure related morbidity and mortality in patients suffering from stable HFpEF: A subgroup analysis of the ALDO-DHF trial

Petutschnigg, J., De Ronde, M.W.J., Trippel, T.D., Bobenko, A., Schleussner, L., Bähr, F., Hashemi, D., Holzendorf, V., Leenders, J.J., Pinto, Y.M., Wachter, R., Hasenfuss, G., Herrmann-Lingen, C., Pi

Journal:

Journal of Molecular and Cellular Cardiology

Year:

2018

Language:

english

File:

PDF, 50 KB

english, 2018

31

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

32

Finite-gap periodic solutions of the KdV equation are non-degenerate

A.I. Bobenko, S.B. Kuksin

Journal:

Physics Letters A

Year:

1991

Language:

english

File:

PDF, 189 KB

english, 1991

33

The discrete quantum pendulum

Alexander Bobenko, Nadja Kutz, Ulrich Pinkall

Journal:

Physics Letters A

Year:

1993

Language:

english

File:

PDF, 448 KB

english, 1993

34

Qualitative analysis of finite-gap solutions of the KgΦ equation by the automorphic approach

A. I. Bobenko, L. A. Bordag

Journal:

Journal of Mathematical Sciences

Year:

1990

Language:

english

File:

PDF, 591 KB

english, 1990

35

Eigenfunctions of the Dirichlet and Neumann boundary value problems for the elliptic sinh-Gordon equation on a rectangle

Journal:

Journal of Mathematical Sciences

Year:

1991

Language:

english

File:

PDF, 184 KB

english, 1991

36

Small-amplitude solutions of the sine-Gordon equation on an interval under dirichlet or Neumann boundary conditions

A. I. Bobenko, S. B. Kuksin

Journal:

Journal of Nonlinear Science

Year:

1995

Language:

english

File:

PDF, 1013 KB

english, 1995

37

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

38

Landau-Lifshits equation. “Dressing up” procedure. Elementary excitations

Journal:

Journal of Mathematical Sciences

Year:

1985

Language:

english

File:

PDF, 363 KB

english, 1985

39

Finite-zone solutions in terms of automorphic functions the Kadomtsev-petviashvili equation

Journal:

Journal of Mathematical Sciences

Year:

1985

Language:

english

File:

PDF, 475 KB

english, 1985

40

Helicoids with handles and Baker-Akhiezer spinors

Alexander I. Bobenko

Journal:

Mathematische Zeitschrift

Year:

1998

Language:

english

File:

PDF, 758 KB

english, 1998

41

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

42

Classification of Integrable Equations on Quad-Graphs. The Consistency Approach

V.E. Adler, A.I. Bobenko, Yu.B. Suris

Journal:

Communications in Mathematical Physics

Year:

2003

Language:

english

File:

PDF, 230 KB

english, 2003

43

Discrete Time Lagrangian Mechanics on Lie Groups,¶with an Application to the Lagrange Top

A. I. Bobenko, Yu. B. Suris

Journal:

Communications in Mathematical Physics

Year:

1999

Language:

english

File:

PDF, 249 KB

english, 1999

44

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

45

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

46

An algorithm for the construction of intrinsic delaunay triangulations with applications to digital geometry processing

M. Fisher, B. Springborn, P. Schröder, A. I. Bobenko

Journal:

Year:

2007

Language:

english

File:

PDF, 495 KB

english, 2007

47

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

48

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

49

Surfaces with Harmonic Inverse Mean Curvature and Painlevé Equations

A. Bobenko, U. Eitner, A. Kitaev

Journal:

Geometriae Dedicata

Year:

1997

Language:

english

File:

PDF, 781 KB

english, 1997

50

Integrable Noncommutative Equations on Quad-graphs. The Consistency Approach

A. I. Bobenko, Yu. B. Suris

Journal:

Letters in Mathematical Physics

Year:

2002

Language:

english

File:

PDF, 147 KB

english, 2002

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