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Bobenko, Alexander Ivanovich

Author ID: bobenko.alexander-ivanovich Recent zbMATH articles by "Bobenko, Alexander Ivanovich"
Published as: Bobenko, Alexander I.; Bobenko, A. I.; Bobenko, Alexander; Bobenko, A.; Bobenko, Alexander Ivanovich
External Links: MGP · Wikidata · GND · IdRef
all top 5

Co-Authors

29 single-authored
26 Suris, Yuri Borisovich
9 Hoffmann, Tim
9 Schief, Wolfgang Karl
8 Springborn, Boris Andre
6 Matveev, Vladimir B.
6 Techter, Jan
5 Adler, Vsevolod Eduardovich
5 Its, Alexander Rudolfovich
5 Pinkall, Ulrich
5 Sechelmann, Stefan
4 Babich, Mikhail Vasil’evich
4 Günther, Felix
4 Kenyon, Richard W.
4 Schröder, Peter
4 Ziegler, Günter Matthias
3 Agafonov, Sergey I.
3 Bordag, Ljudmila A.
3 Eitner, Ulrich
3 Lutz, Carl O. R.
3 Mercat, Christian
3 Pottmann, Helmut
3 Rörig, Thilo
3 Schmies, Markus
3 Sullivan, John Matthew
2 Akopyan, Arseniy V.
2 Belokolos, Eugene D.
2 Bikbaev, Ramil’ F.
2 Bücking, Ulrike
2 Deconinck, Bernard
2 Dimitrov, Nikolay
2 Enolskiĭ, Viktor Zelikovich
2 Fairley, Alexander Y.
2 Heller, Sebastian Gregor
2 Hertrich-Jeromin, Udo J.
2 Huhnen-Venedey, Emanuel Christoph
2 Kitaev, Alexander V.
2 Kubenskij, D. A.
2 Kuksin, Sergeĭ B.
2 Matthes, Daniel
2 Sageman-Furnas, Andrew O’Shea
2 Seiler, Ruedi
2 Tsarev, Sergej Petrovich
1 Bazhanov, Vladimir V.
1 Bobenko, Nikolai
1 Bordemann, Martin
1 Crowdy, Darren Gregory
1 Ercolani, Nicholas M.
1 Fisher, Michael E.
1 Frauendiener, Jörg
1 Gunn, Charles G.
1 Gunn, Charlie
1 Heil, Matthias
1 Hidalgo, Rubén Antonio
1 Izmestiev, Ivan
1 Joswig, Michael
1 Klein, Christian
1 Knörrer, Horst
1 Kokotov, Aleksey
1 Kuznetsov, Vadim Borisovich
1 Lorbeer, B.
1 Lukyanenko, Inna
1 Marshall, J. D.
1 Mehner, Milan
1 Patterson, Matthew S.
1 Pavlyukevich, Tatyana V.
1 Reshetikhin, Nikolai Yu.
1 Reyman, Alexey G.
1 Romon, Pascal
1 Sall’, M. A.
1 Schmitt, Nicholas
1 Schmitt, Nick
1 Semenov-Tyan-Shanskiĭ, Mikhail Arsen’evich
1 Seppälä, Mika
1 Skopenkov, Mikhail B.
1 Sridhar, Ananth
1 Trubowitz, Eugene
1 Umehara, Masaaki
1 van Hoeij, Mark
1 Wallner, Johannes
1 Weidner, Martin P.
all top 5

Serials

10 IMRN. International Mathematics Research Notices
6 Communications in Mathematical Physics
6 Letters in Mathematical Physics
6 Discrete & Computational Geometry
5 Functional Analysis and its Applications
4 Geometriae Dedicata
4 Journal für die Reine und Angewandte Mathematik
4 Journal of Soviet Mathematics
4 Oberwolfach Reports
4 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova
3 Journal of Mathematical Physics
3 Russian Mathematical Surveys
3 Duke Mathematical Journal
3 Soviet Mathematics. Doklady
2 Theoretical and Mathematical Physics
2 Manuscripta Mathematica
2 Mathematische Annalen
2 Mathematische Zeitschrift
2 Transactions of the American Mathematical Society
2 Journal of Physics A: Mathematical and General
2 Experimental Mathematics
2 Mathematical Physics, Analysis and Geometry
2 Lecture Notes in Mathematics
2 Journal of Integrable Systems
1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV)
1 Teoreticheskaya i Matematicheskaya Fizika
1 Uspekhi Matematicheskikh Nauk [N. S.]
1 Mathematics of Computation
1 Advances in Mathematics
1 Annales de l’Institut Fourier
1 Commentarii Mathematici Helvetici
1 Computing
1 Funktsional’nyĭ Analiz i ego Prilozheniya
1 Hiroshima Mathematical Journal
1 Journal of Differential Geometry
1 Mathematics of the USSR. Izvestiya
1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
1 Soviet Physics. Doklady
1 Journal of Nonlinear Science
1 Communications in Analysis and Geometry
1 St. Petersburg Mathematical Journal
1 Geometry & Topology
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Annals of Mathematics. Second Series
1 Graduate Studies in Mathematics
1 Oxford Lecture Series in Mathematics and its Applications
1 Oberwolfach Seminars
1 Proceedings A. Royal Society of London
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Actes des Rencontres du C.I.R.M.
1 SpringerBriefs in Mathematics
1 Springer VideoMATH

Publications by Year

Citations contained in zbMATH Open

118 Publications have been cited 2,396 times in 1,501 Documents Cited by Year
Algebro-geometric approach to nonlinear integrable equations. Zbl 0809.35001
Belokolos, E. D.; Bobenko, A. I.; Enol’skij, V. Z.; Its, A. R.; Matveev, V. B.
391
1994
Classification of integrable equations on quad-graphs. The consistency approach. Zbl 1075.37022
Adler, V. E.; Bobenko, A. I.; Suris, Yu. B.
178
2003
Discrete differential geometry. Integrable structure. Zbl 1158.53001
Bobenko, Alexander I.; Suris, Yuri B.
119
2008
Integrable systems on quad-graphs. Zbl 1004.37053
Bobenko, Alexander I.; Suris, Yuri B.
94
2002
All constant mean curvature tori in \(R^ 3\), \(S^ 3\), \(H^ 3\) in terms of theta-functions. Zbl 0711.53007
Bobenko, A. I.
85
1991
Variational principles for circle patterns and Koebe’s theorem. Zbl 1044.52009
Bobenko, Alexander I.; Springborn, Boris A.
67
2004
Discrete conformal maps and ideal hyperbolic polyhedra. Zbl 1327.52040
Bobenko, Alexander I.; Pinkall, Ulrich; Springborn, Boris A.
65
2015
Discrete isothermic surfaces. Zbl 0845.53005
Bobenko, Alexander; Pinkall, Ulrich
64
1996
Surfaces in terms of 2 by 2 matrices. Old and new integrable cases. Zbl 0841.53003
Bobenko, A. I.
61
1994
Discrete nonlinear hyperbolic equations. Classification of integrable cases. Zbl 1271.37048
Adler, V. E.; Bobenko, A. I.; Suris, Yu. B.
58
2009
A discrete Laplace-Beltrami operator for simplicial surfaces. Zbl 1144.65011
Bobenko, Alexander I.; Springborn, Boris A.
51
2007
The Kowalewski top 99 years later: a Lax pair, generalizations and explicit solutions. Zbl 0819.58013
Bobenko, A. I.; Reyman, A. G.; Semenov-Tian-Shansky, Michael A.
49
1989
Minimal surfaces from circle patterns: geometry from combinatorics. Zbl 1122.53003
Bobenko, Alexander I.; Hoffmann, Tim; Springborn, Boris A.
46
2006
Discrete time Lagrangian mechanics on Lie groups, with an application to the Lagrange top. Zbl 0945.70010
Bobenko, A. I.; Suris, Yu. B.
41
1999
Linear and nonlinear theories of discrete analytic functions. Integrable structure and isomonodromic Green’s function. Zbl 1099.37054
Bobenko, Alexander I.; Mercat, Christian; Suris, Yuri B.
39
2005
Discrete surfaces with constant negative Gaussian curvature and the Hirota equation. Zbl 1059.53500
Bobenko, Alexander; Pinkall, Ulrich
38
1996
Computing Riemann theta functions. Zbl 1092.33018
Deconinck, Bernard; Heil, Matthias; Bobenko, Alexander; van Hoeij, Mark; Schmies, Marcus
34
2004
Alexandrov’s theorem, weighted Delaunay triangulations, and mixed volumes. Zbl 1154.52005
Bobenko, Alexander I.; Izmestiev, Ivan
33
2008
Geometry of Yang-Baxter maps: pencils of conics and quadrirational mappings. Zbl 1065.14015
Adler, V. E.; Bobenko, A. I.; Suris, Yu. B.
32
2004
Painlevé equations in the differential geometry of surfaces. Zbl 0970.53002
Bobenko, A. I.; Eitner, Ulrich
31
2000
Discretization of surfaces and integrable systems. Zbl 0932.53004
Bobenko, Alexander I.; Pinkall, Ulrich
30
1999
Algebraic-geometric principles of superposition of finite-zone solutions of integrable nonlinear equations. Zbl 0612.35117
Belokolos, E. D.; Bobenko, A. I.; Matveev, V. B.; Ènol’skiĭ, V. Z.
30
1986
A curvature theory for discrete surfaces based on mesh parallelity. Zbl 1219.51014
Bobenko, Alexander I.; Pottmann, Helmut; Wallner, Johannes
30
2010
Willmore tori with umbilic lines and minimal surfaces in hyperbolic space. Zbl 0820.53005
Babich, M.; Bobenko, A.
29
1993
On organizing principles of discrete differential geometry. Geometry of spheres. Zbl 1192.51010
Bobenko, A. I.; Suris, Yu. B.
27
2007
Constant mean curvature surfaces and integrable equations. Zbl 0780.53009
Bobenko, A. I.
24
1991
Discrete Lagrangian reduction, discrete Euler-Poincaré equations, and semidirect products. Zbl 0965.70025
Bobenko, Alexander I.; Suris, Yuri B.
23
1999
Computational approach to Riemann surfaces. Zbl 1207.14002
23
2011
Discrete differential geometry. Zbl 1132.53004
22
2008
Classification of integrable discrete equations of octahedron type. Zbl 1277.39006
Adler, Vsevolod E.; Bobenko, Alexander I.; Suris, Yuri B.
19
2012
Integrable noncommutative equations on quad-graphs. The consistency approach. Zbl 1075.37023
Bobenko, A. I.; Suris, Yu. B.
19
2002
Discrete conformal maps and surfaces. Zbl 1001.53001
Bobenko, Alexander I.
17
1999
Discrete \(Z^\gamma\) and Painlevé equations. Zbl 0969.39015
Agafonov, Sergey I.; Bobenko, Alexander I.
16
2000
Quantum discrete sine-Gordon model at roots of 1: Integrable quantum system on the integrable classical background. Zbl 0846.35116
Bazhanov, V.; Bobenko, A.; Reshetikhin, N.
16
1996
Periodic multiphase solutions of the Kadomtsev-Petviashvili equation. Zbl 0692.35082
Bobenko, A. I.; Bordag, L. A.
16
1989
The nonlinear Klein-Gordon equation on an interval as a perturbed sine-Gordon equation. Zbl 0842.35099
Bobenko, Alexander I.; Kuksin, Sergej B.
15
1995
Discrete and smooth orthogonal systems: \(C^\infty\)-approximation. Zbl 1085.53008
Bobenko, A. I.; Matthes, D.; Suris, Yu. B.
14
2003
On the Lagrangian structure of integrable quad-equations. Zbl 1379.70061
Bobenko, Alexander I.; Suris, Yuri B.
14
2010
On two integrable cellular automata. Zbl 0795.35098
Bobenko, Alexander; Bordemann, Martin; Gunn, Charlie; Pinkall, Ulrich
13
1993
Discrete indefinite affine spheres. Zbl 0942.53013
Bobenko, Alexander I.; Schief, Wolfgang K.
13
1999
Discrete Koenigs nets and discrete isothermic surfaces. Zbl 1171.53003
Bobenko, Alexander I.; Suris, Yuri B.
13
2009
Introduction to compact Riemann surfaces. Zbl 1214.30030
Bobenko, Alexander I.
13
2011
Bonnet surfaces and Painlevé equations. Zbl 0906.53001
Bobenko, Alexander; Eitner, Ulrich
12
1998
Surfaces with harmonic inverse mean curvature and Painlevé equations. Zbl 0888.53008
Bobenko, A.; Eitner, U.; Kitaev, A.
12
1997
Surfaces of positive mean curvature and integrable equations. Zbl 0755.53004
Bobenko, A. I.
12
1991
Curvature line parametrized surfaces and orthogonal coordinate systems: discretization with Dupin cyclides. Zbl 1404.53013
Bobenko, Alexander I.; Huhnen-Venedey, Emanuel
12
2012
Integrable discretizations of the Euler top. Zbl 0944.70009
Bobenko, A. I.; Lorbeer, B.; Suris, Yu. B.
11
1998
Affine spheres: Discretization via duality relations. Zbl 0972.53012
Bobenko, Alexander I.; Schief, Wolfgang K.
11
1999
Hexagonal circle patterns and integrable systems: Patterns with constant angles. Zbl 1037.52018
Bobenko, Alexander I.; Hoffmann, Tim
11
2003
On the integrability of infinitesimal and finite deformations of polyhedral surfaces. Zbl 1147.53005
Schief, Wolfgang K.; Bobenko, Alexander I.; Hoffmann, Tim
11
2008
Incircular nets and confocal conics. Zbl 1385.51001
Akopyan, Arseniy V.; Bobenko, Alexander I.
11
2018
Schottky uniformization and finite-gap integration. Zbl 0659.35086
Bobenko, A. I.
9
1987
Hexagonal circle patterns and integrable systems: Patterns with the multi-ratio property and Lax equations on the regular triangular lattice. Zbl 0993.52004
Bobenko, Alexander I.; Hoffmann, Tim; Suris, Yuri B.
9
2002
Orthogonal nets and Clifford algebras. Zbl 1054.53006
Bobenko, Alexander I.; Hertrich-Jeromin, Udo J.
9
2001
Landau-Lifshitz equation, uniaxial anisotropy case: theory of exact solutions. Zbl 1303.82038
Bikbaev, R. F.; Bobenko, A. I.; Its, A. R.
9
2014
Discrete pluriharmonic functions as solutions of linear pluri-Lagrangian systems. Zbl 1348.37098
Bobenko, A. I.; Suris, Yu. B.
9
2015
Exploring surfaces through methods from the theory of integrable systems: the Bonnet problem. Zbl 1165.53006
Bobenko, Alexander I.
8
2008
Isothermic surfaces in sphere geometries as Moutard nets. Zbl 1142.53014
Bobenko, Alexander I.; Suris, Yuri B.
8
2007
Real algebrogeometric solutions of the Landau-Lifshitz equation in Prym theta functions. Zbl 0588.35015
Bobenko, A. I.
8
1985
Reductions of Riemann theta-functions of genus g to theta-functions of lower genus, and symmetries of algebraic curves. Zbl 0556.35114
Babich, M. V.; Bobenko, A. I.; Matveev, V. B.
8
1983
On finite-zone integration of the Landau-Lifshits equation. Zbl 0556.35115
Bikbaev, R. F.; Bobenko, A. I.; Its, A. R.
8
1983
Discrete line complexes and integrable evolution of minors. Zbl 1372.53010
Bobenko, A. I.; Schief, W. K.
8
2015
On a discretization of confocal quadrics. A geometric approach to general parametrizations. Zbl 1466.37056
Bobenko, Alexander I.; Schief, Wolfgang K.; Suris, Yuri B.; Techter, Jan
7
2020
Discrete Riemann surfaces: linear discretization and its convergence. Zbl 1358.30020
Bobenko, Alexander; Skopenkov, Mikhail
7
2016
Discrete conformal maps: boundary value problems, circle domains, Fuchsian and Schottky uniformization. Zbl 1354.30042
Bobenko, Alexander I.; Sechelmann, Stefan; Springborn, Boris
7
2016
Discrete constant mean curvature nets in space forms: Steiner’s formula and Christoffel duality. Zbl 1312.53011
Bobenko, Alexander I.; Hertrich-Jeromin, Udo; Lukyanenko, Inna
7
2014
The Painlevé III equation and the Iwasawa decomposition. Zbl 0827.35114
Bobenko, Alexander; Its, Alexander
6
1995
An algorithm for the construction of intrinsic Delaunay triangulations with applications to digital geometry processing. Zbl 1149.65014
Fisher, M.; Springborn, B.; Schröder, P.; Bobenko, A. I.
6
2007
Euler equations in the algebras e(3) and so(4). Isomorphisms of integrable cases. Zbl 0622.58010
Bobenko, A. I.
6
1986
On a discretization of confocal quadrics. I. An integrable systems approach. Zbl 1400.37085
Bobenko, Alexander I.; Schief, Wolfgang K.; Suris, Yuri B.; Techter, Jan
6
2016
Helicoids with handles and Baker-Akhiezer spinors. Zbl 0970.53010
Bobenko, Alexander I.
5
1998
Solutions of nonlinear equations integrable in Jacobi theta functions by the method of the inverse problem, and symmetries of algebraic curves. Zbl 0657.35021
Babich, M. V.; Bobenko, A. I.; Matveev, V. B.
5
1986
Conformally symmetric circle packings: A generalization of Doyle’s spirals. Zbl 0987.52008
Bobenko, Alexander I.; Hoffmann, Tim
5
2001
Hexagonal circle patterns with constant intersection angles and discrete Painlevé and Riccati equations. Zbl 1062.37101
Agafonov, S. I.; Bobenko, A. I.
5
2003
Hyperbolic constant mean curvature one surfaces: Spinor representation and trinoids in hypergeometric functions. Zbl 1045.53041
Bobenko, Alexander I.; Pavlyukevich, Tatyana V.; Springborn, Boris A.
5
2003
Solutions of nonlinear equations in Jacobi theta functions integrable by the inverse problem method and symmetries of algebraic curves. Zbl 0583.35012
Babich, M. V.; Bobenko, A. I.; Matveev, V. B.
5
1985
Period matrices of polyhedral surfaces. Zbl 1218.32008
Bobenko, Alexander I.; Mercat, Christian; Schmies, Markus
5
2011
Discrete complex analysis on planar quad-graphs. Zbl 1353.30046
Bobenko, Alexander I.; Günther, Felix
5
2016
Circle complexes and the discrete CKP equation. Zbl 1405.37082
Bobenko, Alexander I.; Schief, Wolfgang K.
5
2017
Integrable surfaces. Zbl 0707.53009
Bobenko, A. I.
5
1990
Nonlinear hyperbolic equations in surface theory: integrable discretizations and approximation results. Zbl 1098.53005
Bobenko, A. I.; Matthes, D.; Suris, Yu. B.
4
2006
Multi-nets. Classification of discrete and smooth surfaces with characteristic properties on arbitrary parameter rectangles. Zbl 1440.53012
Bobenko, Alexander I.; Pottmann, Helmut; Rörig, Thilo
4
2020
Advances in discrete differential geometry. Zbl 1354.53005
4
2016
On discrete integrable equations with convex variational principles. Zbl 1402.37069
Bobenko, Alexander I.; Günther, Felix
4
2012
Integrable surfaces. Zbl 0717.53004
Bobenko, A. I.
4
1990
A conformal engery for simplicial surfaces. Zbl 1111.53011
Bobenko, Alexander I.
3
2005
Introduction to: Discrete integrable geometry and physics. Zbl 0936.37027
Bobenko, Alexander I.; Seiler, Ruedi
3
1999
On asymptotic cones of surfaces with constant curvature and the third Painlevé equation. Zbl 0965.53010
Bobenko, Alexander I.; Kitaev, Alexander V.
3
1998
Lax representation and new formulae for the Goryachev-Chaplygin top. Zbl 0662.35104
Bobenko, A. I.; Kuznetsov, V. B.
3
1988
Report 12/2006: Discrete Differential Geometry (March 5th – March 11th, 2006). Zbl 1109.52300
3
2006
Surfaces from circles. Zbl 1151.52017
Bobenko, Alexander I.
3
2008
Landau-Lifshits equations. ”Dressing up” procedure. Elementary excitations. Zbl 0556.58016
Bobenko, A. I.
3
1985
Constant mean curvature surfaces based on fundamental quadrilaterals. Zbl 1491.53009
Bobenko, Alexander I.; Heller, Sebastian; Schmitt, Nick
3
2021
Discrete integrable systems and geometry. Zbl 1253.37073
Bobenko, Alexander I.
3
1999
Discrete minimal surfaces of Koebe type. Zbl 1392.53014
Bobenko, Alexander I.; Bücking, Ulrike; Sechelmann, Stefan
3
2017
DGD Gallery: storage, sharing, and publication of digital research data. Zbl 1349.68318
Joswig, Michael; Mehner, Milan; Sechelmann, Stefan; Techter, Jan; Bobenko, Alexander I.
3
2016
Eigenfunctions of the Dirichlet and Neumann boundary value problems on a rectangle for the elliptic sine-Gordon equation. Zbl 0706.35111
Bobenko, A. I.
3
1989
Non-Euclidean Laguerre geometry and incircular nets. Zbl 1492.51001
Bobenko, Alexander I.; Lutz, Carl O. R.; Pottmann, Helmut; Techter, Jan
3
2021
Qualitative analysis of finite-zonal solutions of the KdV equation with the help of an automorphic approach. Zbl 0669.35097
Bobenko, A. I.; Bordag, L. A.
2
1987
Checkerboard incircular nets: Laguerre geometry and parametrisation. Zbl 1432.51003
Bobenko, Alexander I.; Schief, Wolfgang K.; Techter, Jan
2
2020
Constant mean curvature surfaces based on fundamental quadrilaterals. Zbl 1491.53009
Bobenko, Alexander I.; Heller, Sebastian; Schmitt, Nick
3
2021
Non-Euclidean Laguerre geometry and incircular nets. Zbl 1492.51001
Bobenko, Alexander I.; Lutz, Carl O. R.; Pottmann, Helmut; Techter, Jan
3
2021
Nets of lines with the combinatorics of the square grid and with touching inscribed conics. Zbl 1477.51002
Bobenko, Alexander I.; Fairley, Alexander Y.
1
2021
On a discretization of confocal quadrics. A geometric approach to general parametrizations. Zbl 1466.37056
Bobenko, Alexander I.; Schief, Wolfgang K.; Suris, Yuri B.; Techter, Jan
7
2020
Multi-nets. Classification of discrete and smooth surfaces with characteristic properties on arbitrary parameter rectangles. Zbl 1440.53012
Bobenko, Alexander I.; Pottmann, Helmut; Rörig, Thilo
4
2020
Checkerboard incircular nets: Laguerre geometry and parametrisation. Zbl 1432.51003
Bobenko, Alexander I.; Schief, Wolfgang K.; Techter, Jan
2
2020
Minimal \(n\)-noids in hyperbolic and anti-De Sitter 3-space. Zbl 1472.53068
Bobenko, Alexander I.; Heller, Sebastian; Schmitt, Nicholas
2
2019
Incircular nets and confocal conics. Zbl 1385.51001
Akopyan, Arseniy V.; Bobenko, Alexander I.
11
2018
Circle complexes and the discrete CKP equation. Zbl 1405.37082
Bobenko, Alexander I.; Schief, Wolfgang K.
5
2017
Discrete minimal surfaces of Koebe type. Zbl 1392.53014
Bobenko, Alexander I.; Bücking, Ulrike; Sechelmann, Stefan
3
2017
Discrete CMC surfaces in \(\mathbb{R}^3\) and discrete minimal surfaces in \(\mathbb{S}^3\): a discrete Lawson correspondence. Zbl 1398.37073
Bobenko, Alexander I.; Romon, Pascal
2
2017
Discrete Riemann surfaces based on quadrilateral cellular decompositions. Zbl 1375.30063
Bobenko, Alexander I.; Günther, Felix
1
2017
Supercyclidic nets. Zbl 1405.53010
Bobenko, Alexander I.; Huhnen-Venedey, Emanuel; Rörig, Thilo
1
2017
Discrete uniformization of polyhedral surfaces with non-positive curvature and branched covers over the sphere via hyper-ideal circle patterns. Zbl 1365.52027
Bobenko, Alexander I.; Dimitrov, Nikolay; Sechelmann, Stefan
1
2017
Discrete Riemann surfaces: linear discretization and its convergence. Zbl 1358.30020
Bobenko, Alexander; Skopenkov, Mikhail
7
2016
Discrete conformal maps: boundary value problems, circle domains, Fuchsian and Schottky uniformization. Zbl 1354.30042
Bobenko, Alexander I.; Sechelmann, Stefan; Springborn, Boris
7
2016
On a discretization of confocal quadrics. I. An integrable systems approach. Zbl 1400.37085
Bobenko, Alexander I.; Schief, Wolfgang K.; Suris, Yuri B.; Techter, Jan
6
2016
Discrete complex analysis on planar quad-graphs. Zbl 1353.30046
Bobenko, Alexander I.; Günther, Felix
5
2016
Advances in discrete differential geometry. Zbl 1354.53005
4
2016
DGD Gallery: storage, sharing, and publication of digital research data. Zbl 1349.68318
Joswig, Michael; Mehner, Milan; Sechelmann, Stefan; Techter, Jan; Bobenko, Alexander I.
3
2016
S-conical CMC surfaces. Towards a unified theory of discrete surfaces with constant mean curvature. Zbl 1356.53009
Bobenko, Alexander I.; Hoffmann, Tim
1
2016
The asymptotic behavior of the discrete holomorphic map \(Z^a\) via the Riemann-Hilbert method. Zbl 1354.30041
Bobenko, Alexander I.; Its, Alexander
1
2016
Discrete conformal maps and ideal hyperbolic polyhedra. Zbl 1327.52040
Bobenko, Alexander I.; Pinkall, Ulrich; Springborn, Boris A.
65
2015
Discrete pluriharmonic functions as solutions of linear pluri-Lagrangian systems. Zbl 1348.37098
Bobenko, A. I.; Suris, Yu. B.
9
2015
Discrete line complexes and integrable evolution of minors. Zbl 1372.53010
Bobenko, A. I.; Schief, W. K.
8
2015
Landau-Lifshitz equation, uniaxial anisotropy case: theory of exact solutions. Zbl 1303.82038
Bikbaev, R. F.; Bobenko, A. I.; Its, A. R.
9
2014
Discrete constant mean curvature nets in space forms: Steiner’s formula and Christoffel duality. Zbl 1312.53011
Bobenko, Alexander I.; Hertrich-Jeromin, Udo; Lukyanenko, Inna
7
2014
Classification of integrable discrete equations of octahedron type. Zbl 1277.39006
Adler, Vsevolod E.; Bobenko, Alexander I.; Suris, Yuri B.
19
2012
Curvature line parametrized surfaces and orthogonal coordinate systems: discretization with Dupin cyclides. Zbl 1404.53013
Bobenko, Alexander I.; Huhnen-Venedey, Emanuel
12
2012
On discrete integrable equations with convex variational principles. Zbl 1402.37069
Bobenko, Alexander I.; Günther, Felix
4
2012
Computational approach to Riemann surfaces. Zbl 1207.14002
23
2011
Introduction to compact Riemann surfaces. Zbl 1214.30030
Bobenko, Alexander I.
13
2011
Period matrices of polyhedral surfaces. Zbl 1218.32008
Bobenko, Alexander I.; Mercat, Christian; Schmies, Markus
5
2011
A curvature theory for discrete surfaces based on mesh parallelity. Zbl 1219.51014
Bobenko, Alexander I.; Pottmann, Helmut; Wallner, Johannes
30
2010
On the Lagrangian structure of integrable quad-equations. Zbl 1379.70061
Bobenko, Alexander I.; Suris, Yuri B.
14
2010
Discrete nonlinear hyperbolic equations. Classification of integrable cases. Zbl 1271.37048
Adler, V. E.; Bobenko, A. I.; Suris, Yu. B.
58
2009
Discrete Koenigs nets and discrete isothermic surfaces. Zbl 1171.53003
Bobenko, Alexander I.; Suris, Yuri B.
13
2009
Integrable discrete nets in Grassmannians. Zbl 1181.37109
Adler, Vsevolod Eduardovich; Bobenko, Alexander Ivanovich; Suris, Yuri Borisovich
2
2009
Discrete differential geometry. Integrable structure. Zbl 1158.53001
Bobenko, Alexander I.; Suris, Yuri B.
119
2008
Alexandrov’s theorem, weighted Delaunay triangulations, and mixed volumes. Zbl 1154.52005
Bobenko, Alexander I.; Izmestiev, Ivan
33
2008
Discrete differential geometry. Zbl 1132.53004
22
2008
On the integrability of infinitesimal and finite deformations of polyhedral surfaces. Zbl 1147.53005
Schief, Wolfgang K.; Bobenko, Alexander I.; Hoffmann, Tim
11
2008
Exploring surfaces through methods from the theory of integrable systems: the Bonnet problem. Zbl 1165.53006
Bobenko, Alexander I.
8
2008
Surfaces from circles. Zbl 1151.52017
Bobenko, Alexander I.
3
2008
A discrete Laplace-Beltrami operator for simplicial surfaces. Zbl 1144.65011
Bobenko, Alexander I.; Springborn, Boris A.
51
2007
On organizing principles of discrete differential geometry. Geometry of spheres. Zbl 1192.51010
Bobenko, A. I.; Suris, Yu. B.
27
2007
Isothermic surfaces in sphere geometries as Moutard nets. Zbl 1142.53014
Bobenko, Alexander I.; Suris, Yuri B.
8
2007
An algorithm for the construction of intrinsic Delaunay triangulations with applications to digital geometry processing. Zbl 1149.65014
Fisher, M.; Springborn, B.; Schröder, P.; Bobenko, A. I.
6
2007
Minimal surfaces from circle patterns: geometry from combinatorics. Zbl 1122.53003
Bobenko, Alexander I.; Hoffmann, Tim; Springborn, Boris A.
46
2006
Nonlinear hyperbolic equations in surface theory: integrable discretizations and approximation results. Zbl 1098.53005
Bobenko, A. I.; Matthes, D.; Suris, Yu. B.
4
2006
Report 12/2006: Discrete Differential Geometry (March 5th – March 11th, 2006). Zbl 1109.52300
3
2006
Linear and nonlinear theories of discrete analytic functions. Integrable structure and isomonodromic Green’s function. Zbl 1099.37054
Bobenko, Alexander I.; Mercat, Christian; Suris, Yuri B.
39
2005
A conformal engery for simplicial surfaces. Zbl 1111.53011
Bobenko, Alexander I.
3
2005
Variational principles for circle patterns and Koebe’s theorem. Zbl 1044.52009
Bobenko, Alexander I.; Springborn, Boris A.
67
2004
Computing Riemann theta functions. Zbl 1092.33018
Deconinck, Bernard; Heil, Matthias; Bobenko, Alexander; van Hoeij, Mark; Schmies, Marcus
34
2004
Geometry of Yang-Baxter maps: pencils of conics and quadrirational mappings. Zbl 1065.14015
Adler, V. E.; Bobenko, A. I.; Suris, Yu. B.
32
2004
Discrete differential geometry. Integrability as consistency. Zbl 1076.37064
Bobenko, Alexander I.
1
2004
Classification of integrable equations on quad-graphs. The consistency approach. Zbl 1075.37022
Adler, V. E.; Bobenko, A. I.; Suris, Yu. B.
178
2003
Discrete and smooth orthogonal systems: \(C^\infty\)-approximation. Zbl 1085.53008
Bobenko, A. I.; Matthes, D.; Suris, Yu. B.
14
2003
Hexagonal circle patterns and integrable systems: Patterns with constant angles. Zbl 1037.52018
Bobenko, Alexander I.; Hoffmann, Tim
11
2003
Hexagonal circle patterns with constant intersection angles and discrete Painlevé and Riccati equations. Zbl 1062.37101
Agafonov, S. I.; Bobenko, A. I.
5
2003
Hyperbolic constant mean curvature one surfaces: Spinor representation and trinoids in hypergeometric functions. Zbl 1045.53041
Bobenko, Alexander I.; Pavlyukevich, Tatyana V.; Springborn, Boris A.
5
2003
Integrable systems on quad-graphs. Zbl 1004.37053
Bobenko, Alexander I.; Suris, Yuri B.
94
2002
Integrable noncommutative equations on quad-graphs. The consistency approach. Zbl 1075.37023
Bobenko, A. I.; Suris, Yu. B.
19
2002
Hexagonal circle patterns and integrable systems: Patterns with the multi-ratio property and Lax equations on the regular triangular lattice. Zbl 0993.52004
Bobenko, Alexander I.; Hoffmann, Tim; Suris, Yuri B.
9
2002
Orthogonal nets and Clifford algebras. Zbl 1054.53006
Bobenko, Alexander I.; Hertrich-Jeromin, Udo J.
9
2001
Conformally symmetric circle packings: A generalization of Doyle’s spirals. Zbl 0987.52008
Bobenko, Alexander I.; Hoffmann, Tim
5
2001
Monodromy of isometric deformations of CMC surfaces. Zbl 1026.53037
Bobenko, A. I.; Umehara, M.
1
2001
Painlevé equations in the differential geometry of surfaces. Zbl 0970.53002
Bobenko, A. I.; Eitner, Ulrich
31
2000
Discrete \(Z^\gamma\) and Painlevé equations. Zbl 0969.39015
Agafonov, Sergey I.; Bobenko, Alexander I.
16
2000
Discrete time Lagrangian mechanics on Lie groups, with an application to the Lagrange top. Zbl 0945.70010
Bobenko, A. I.; Suris, Yu. B.
41
1999
Discretization of surfaces and integrable systems. Zbl 0932.53004
Bobenko, Alexander I.; Pinkall, Ulrich
30
1999
Discrete Lagrangian reduction, discrete Euler-Poincaré equations, and semidirect products. Zbl 0965.70025
Bobenko, Alexander I.; Suris, Yuri B.
23
1999
Discrete conformal maps and surfaces. Zbl 1001.53001
Bobenko, Alexander I.
17
1999
Discrete indefinite affine spheres. Zbl 0942.53013
Bobenko, Alexander I.; Schief, Wolfgang K.
13
1999
Affine spheres: Discretization via duality relations. Zbl 0972.53012
Bobenko, Alexander I.; Schief, Wolfgang K.
11
1999
Introduction to: Discrete integrable geometry and physics. Zbl 0936.37027
Bobenko, Alexander I.; Seiler, Ruedi
3
1999
Discrete integrable systems and geometry. Zbl 1253.37073
Bobenko, Alexander I.
3
1999
Bonnet surfaces and Painlevé equations. Zbl 0906.53001
Bobenko, Alexander; Eitner, Ulrich
12
1998
Integrable discretizations of the Euler top. Zbl 0944.70009
Bobenko, A. I.; Lorbeer, B.; Suris, Yu. B.
11
1998
Helicoids with handles and Baker-Akhiezer spinors. Zbl 0970.53010
Bobenko, Alexander I.
5
1998
On asymptotic cones of surfaces with constant curvature and the third Painlevé equation. Zbl 0965.53010
Bobenko, Alexander I.; Kitaev, Alexander V.
3
1998
Surfaces with harmonic inverse mean curvature and Painlevé equations. Zbl 0888.53008
Bobenko, A.; Eitner, U.; Kitaev, A.
12
1997
Discrete isothermic surfaces. Zbl 0845.53005
Bobenko, Alexander; Pinkall, Ulrich
64
1996
Discrete surfaces with constant negative Gaussian curvature and the Hirota equation. Zbl 1059.53500
Bobenko, Alexander; Pinkall, Ulrich
38
1996
Quantum discrete sine-Gordon model at roots of 1: Integrable quantum system on the integrable classical background. Zbl 0846.35116
Bazhanov, V.; Bobenko, A.; Reshetikhin, N.
16
1996
The nonlinear Klein-Gordon equation on an interval as a perturbed sine-Gordon equation. Zbl 0842.35099
Bobenko, Alexander I.; Kuksin, Sergej B.
15
1995
The Painlevé III equation and the Iwasawa decomposition. Zbl 0827.35114
Bobenko, Alexander; Its, Alexander
6
1995
Small-amplitude solutions of the sine-Gordon equation on an interval under Dirichlet or Neumann boundary conditions. Zbl 0839.35117
Bobenko, A. I.; Kuksin, S. B.
1
1995
Algebro-geometric approach to nonlinear integrable equations. Zbl 0809.35001
Belokolos, E. D.; Bobenko, A. I.; Enol’skij, V. Z.; Its, A. R.; Matveev, V. B.
391
1994
Surfaces in terms of 2 by 2 matrices. Old and new integrable cases. Zbl 0841.53003
Bobenko, A. I.
61
1994
Willmore tori with umbilic lines and minimal surfaces in hyperbolic space. Zbl 0820.53005
Babich, M.; Bobenko, A.
29
1993
On two integrable cellular automata. Zbl 0795.35098
Bobenko, Alexander; Bordemann, Martin; Gunn, Charlie; Pinkall, Ulrich
13
1993
All constant mean curvature tori in \(R^ 3\), \(S^ 3\), \(H^ 3\) in terms of theta-functions. Zbl 0711.53007
Bobenko, A. I.
85
1991
Constant mean curvature surfaces and integrable equations. Zbl 0780.53009
Bobenko, A. I.
24
1991
Surfaces of positive mean curvature and integrable equations. Zbl 0755.53004
Bobenko, A. I.
12
1991
Integrable surfaces. Zbl 0707.53009
Bobenko, A. I.
5
1990
Integrable surfaces. Zbl 0717.53004
Bobenko, A. I.
4
1990
Integrable surfaces. Zbl 0753.53037
Bobenko, A. I.
1
1990
The Kowalewski top 99 years later: a Lax pair, generalizations and explicit solutions. Zbl 0819.58013
Bobenko, A. I.; Reyman, A. G.; Semenov-Tian-Shansky, Michael A.
49
1989
...and 18 more Documents
all top 5

Cited by 1,562 Authors

52 Bobenko, Alexander Ivanovich
43 Geng, Xianguo
24 Doliwa, Adam
23 Fan, Engui
23 Zhang, Dajun
19 Nijhoff, Frank W.
19 Schief, Wolfgang Karl
19 Smirnov, Alexander O.
18 Suris, Yuri Borisovich
17 Pottmann, Helmut
15 Gesztesy, Fritz
14 Ge, Huabin
14 Klein, Christian
14 Pinkall, Ulrich
13 Dragović, Vladimir
12 Matveev, Vladimir B.
12 Rossman, Wayne
12 Zeng, Xin
11 Cieśliński, Jan L.
11 Deconinck, Bernard
11 Grundland, Alfred Michel
11 Izmestiev, Ivan
11 Konstantinou-Rizos, Sotiris
11 Luo, Feng
11 Ma, Wen-Xiu
11 Pedit, Franz J.
11 Tsyganov, Andreĭ Vladimirovich
11 Xu, Xu
11 Xue, Bo
10 Enolskiĭ, Viktor Zelikovich
10 Heller, Sebastian Gregor
10 Hertrich-Jeromin, Udo J.
10 Its, Alexander Rudolfovich
10 Nakazono, Nobutaka
10 Nieszporski, Maciej
10 Santini, Paolo Maria
10 Springborn, Boris Andre
10 Wei, Jiao
10 Zhai, Yunyun
10 Zhao, Songlin
9 Biondini, Gino
9 Bücking, Ulrike
9 Hoffmann, Tim
9 Joshi, Nalini
9 Kassotakis, Pavlos G.
9 Kilian, Martin
9 Tovbis, Alexander
9 Wallner, Johannes
8 Chen, Jinbing
8 Cho, Joseph
8 Grinevich, Pëtr Georgievich
8 Gubbiotti, Giorgio
8 Khabibullin, Ismagil Talgatovich
8 He, Guoliang
8 Hou, Yu
8 Kels, Andrew P.
8 Ling, Liming
8 Petrera, Matteo
8 Schmitt, Nicholas
8 Xenitidis, Pavlos
8 Zhang, Hongqing
7 Burstall, Francis Everett
7 Doikou, Anastasia
7 Du, Dianlou
7 Fedorov, Yuri N.
7 Frauendiener, Jörg
7 Grammaticos, Basil
7 Hon, Yiu-Chung
7 Khakimova, Aĭgul’ Rinatovna
7 Konopelchenko, Boris Georgievich
7 Leschke, Katrin
7 Levi, Decio
7 Ramani, Alfred
7 Schmidt, Martin Ulrich
7 van der Kamp, Peter H.
7 Zhao, Peng
6 Adler, Vsevolod Eduardovich
6 Bazhanov, Vladimir V.
6 Carberry, Emma
6 Dai, Huihui
6 Heller, Lynn
6 Hu, Xingbiao
6 Hua, Bobo
6 Kajiwara, Kenji
6 Kobayashi, Shimpei
6 Lam, Wai Yeung
6 Lan, Shiyi
6 Lesfari, Ahmed
6 Mikhailov, Alexander Vasil’evich
6 Sergeev, Sergeĭ Mikhaĭlovich
6 Sun, Jianqing
6 Teschl, Gerald
6 Tian, Shoufu
6 Wu, Tianqi
6 Yau, Shing-Tung
6 Zhang, Danda
6 Zhang, Yingnan
5 Boll, Raphael
5 Cao, Cewen
5 Caudrelier, Vincent
...and 1,462 more Authors
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Cited in 295 Serials

70 Journal of Mathematical Physics
66 Journal of Physics A: Mathematical and Theoretical
54 Theoretical and Mathematical Physics
50 Journal of Geometry and Physics
43 Physica D
40 Communications in Mathematical Physics
38 Journal of Nonlinear Mathematical Physics
37 Letters in Mathematical Physics
30 Physics Letters. A
30 Discrete & Computational Geometry
28 Geometriae Dedicata
25 Chaos, Solitons and Fractals
24 Nonlinearity
24 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
19 Differential Geometry and its Applications
18 Advances in Mathematics
18 Journal of High Energy Physics
16 Journal of Mathematical Analysis and Applications
16 Studies in Applied Mathematics
16 Transactions of the American Mathematical Society
15 Applied Mathematics and Computation
14 Nuclear Physics. B
14 Mathematische Zeitschrift
14 Computer Aided Geometric Design
14 Journal of Nonlinear Science
13 Journal of Mathematical Sciences (New York)
13 Regular and Chaotic Dynamics
12 Mathematical Notes
12 Results in Mathematics
12 Proceedings of the Steklov Institute of Mathematics
10 Reports on Mathematical Physics
10 Mathematical Physics, Analysis and Geometry
9 Journal of Functional Analysis
9 Calculus of Variations and Partial Differential Equations
9 Communications in Nonlinear Science and Numerical Simulation
9 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
8 Computer Methods in Applied Mechanics and Engineering
8 Reviews in Mathematical Physics
8 Functional Analysis and its Applications
8 Mathematische Annalen
8 Proceedings of the American Mathematical Society
8 Acta Applicandae Mathematicae
8 Annals of Global Analysis and Geometry
8 Applied Mathematics Letters
8 Computational Methods and Function Theory
8 Journal of Statistical Mechanics: Theory and Experiment
7 Applicable Analysis
7 Beiträge zur Algebra und Geometrie
7 Duke Mathematical Journal
7 The Journal of Geometric Analysis
7 Experimental Mathematics
7 Geometry & Topology
7 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
7 Foundations of Computational Mathematics
7 Advances in Difference Equations
6 Journal of Computational Physics
6 Journal of Differential Equations
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Tôhoku Mathematical Journal. Second Series
6 Annals of Physics
5 Journal d’Analyse Mathématique
5 Mathematics of Computation
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Journal für die Reine und Angewandte Mathematik
5 Manuscripta Mathematica
5 Monatshefte für Mathematik
5 Bulletin of the American Mathematical Society. New Series
5 Advances in Computational Mathematics
5 Acta Mathematica Sinica. English Series
5 Annales Henri Poincaré
5 Communications in Theoretical Physics
5 Ufimskiĭ Matematicheskiĭ Zhurnal
4 Acta Mathematica
4 Inventiones Mathematicae
4 Journal of Geometry
4 Applied Numerical Mathematics
4 St. Petersburg Mathematical Journal
4 Advances in Applied Clifford Algebras
4 Physical Review Letters
4 International Journal of Geometric Methods in Modern Physics
4 Journal of Geometric Mechanics
4 Science China. Mathematics
4 Analysis and Mathematical Physics
4 European Journal of Mathematics
4 Actes des Rencontres du C.I.R.M.
3 Modern Physics Letters B
3 Journal of Statistical Physics
3 The Mathematical Intelligencer
3 Illinois Journal of Mathematics
3 Journal of Soviet Mathematics
3 Numerische Mathematik
3 Pacific Journal of Mathematics
3 ACM Transactions on Graphics
3 Revista Matemática Iberoamericana
3 Science in China. Series A
3 Computational Geometry
3 Numerical Algorithms
3 Geometric and Functional Analysis. GAFA
3 Fractals
3 Selecta Mathematica. New Series
...and 195 more Serials
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Cited in 58 Fields

622 Dynamical systems and ergodic theory (37-XX)
455 Partial differential equations (35-XX)
396 Differential geometry (53-XX)
184 Convex and discrete geometry (52-XX)
183 Difference and functional equations (39-XX)
180 Algebraic geometry (14-XX)
127 Numerical analysis (65-XX)
127 Quantum theory (81-XX)
121 Mechanics of particles and systems (70-XX)
100 Functions of a complex variable (30-XX)
80 Global analysis, analysis on manifolds (58-XX)
78 Statistical mechanics, structure of matter (82-XX)
70 Ordinary differential equations (34-XX)
62 Geometry (51-XX)
53 Computer science (68-XX)
45 Special functions (33-XX)
42 Manifolds and cell complexes (57-XX)
42 Fluid mechanics (76-XX)
36 Associative rings and algebras (16-XX)
34 Combinatorics (05-XX)
34 Calculus of variations and optimal control; optimization (49-XX)
28 Nonassociative rings and algebras (17-XX)
25 Mechanics of deformable solids (74-XX)
22 Linear and multilinear algebra; matrix theory (15-XX)
22 Topological groups, Lie groups (22-XX)
22 Several complex variables and analytic spaces (32-XX)
22 Relativity and gravitational theory (83-XX)
17 Number theory (11-XX)
17 Operator theory (47-XX)
17 Optics, electromagnetic theory (78-XX)
16 Potential theory (31-XX)
14 Probability theory and stochastic processes (60-XX)
9 General and overarching topics; collections (00-XX)
7 History and biography (01-XX)
7 Commutative algebra (13-XX)
7 Group theory and generalizations (20-XX)
7 Approximations and expansions (41-XX)
6 Measure and integration (28-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Functional analysis (46-XX)
6 Statistics (62-XX)
6 Information and communication theory, circuits (94-XX)
5 General topology (54-XX)
4 Field theory and polynomials (12-XX)
4 Integral equations (45-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Real functions (26-XX)
3 Algebraic topology (55-XX)
3 Geophysics (86-XX)
3 Operations research, mathematical programming (90-XX)
3 Biology and other natural sciences (92-XX)
2 Mathematical logic and foundations (03-XX)
2 Sequences, series, summability (40-XX)
2 Integral transforms, operational calculus (44-XX)
2 Systems theory; control (93-XX)
1 Category theory; homological algebra (18-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Mathematics education (97-XX)

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