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Chekhov, Leonid O.

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Author ID: chekhov.leonid-o Recent zbMATH articles by "Chekhov, Leonid O."
Published as: Chekhov, L.; Chekhov, L. O.; Chekhov, Leonid; Chekhov, Leonid O.
Documents Indexed: 71 Publications since 1989

Publications by Year

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51 Publications have been cited 598 times in 355 Documents Cited by Year
A quantum Teichmüller space. Zbl 0986.32007
Fock, V. V.; Chekhov, L. O.
62
1999
Matrix model calculations beyond the spherical limit. Zbl 1043.81636
Ambjørn, J.; Chekhov, L.; Kristjansen, C. F.; Makeenko, Yu.
62
1995
Hermitian matrix model free energy: Feynman graph technique for all genera. Zbl 1226.81137
Chekhov, Leonid; Eynard, Bertrand
50
2006
Matrix eigenvalue model: Feynman graph technique for all genera. Zbl 1226.81138
Chekhov, Leonid; Eynard, Bertrand
38
2006
Free energy topological expansion for the 2-matrix model. Zbl 1226.81250
Chekhov, Leonid; Eynard, Bertrand; Orantin, Nicolas
37
2006
Matrix models vs. Seiberg-Witten/Whitham theories. Zbl 1006.81070
Chekhov, L.; Mironov, A.
34
2003
Topological expansion of the \(\beta\)-ensemble model and quantum algebraic geometry in the sectorwise approach. Zbl 1354.81014
Chekhov, L. O.; Eynard, B.; Marchal, O.
32
2011
The matrix model for dessins d’enfants. Zbl 1304.81130
Ambjørn, Jan; Chekhov, Leonid O.
22
2014
DV and WDVV. Zbl 1035.81036
Chekhov, L.; Marshakov, A.; Mironov, A.; Vasiliev, D.
19
2003
Observables in 3D gravity and geodesic algebras. Zbl 1087.81510
Chekhov, L. O.; Fock, V. V.
19
2000
Teichmüller spaces of Riemann surfaces with orbifold points of arbitrary order and cluster variables. Zbl 1301.30042
Chekhov, Leonid; Shapiro, Michael
16
2014
Multiloop calculations in p-adic string theory and Bruhat-Tits trees. Zbl 0685.22005
Chekhov, L. O.; Mironov, A. D.; Zabrodin, A. V.
16
1989
Complex geometry of matrix models. Zbl 1138.81493
Chekhov, L. O.; Marshakov, A. V.; Mironov, A. D.; Vasiliev, D.
14
2005
The multicritical Kontsevich-Penner model. Zbl 1021.81704
Chekhov, L.; Makeenko, Yu.
14
1992
A matrix model for hypergeometric Hurwitz numbers. Zbl 1318.33022
Ambjørn, J.; Chekhov, L. O.
13
2014
Genus-one correction to multicut matrix model solutions. Zbl 1178.81217
Chekhov, L. O.
11
2004
\(R\)-matrix quantization of the elliptic Ruijsenaars-Schneider model. Zbl 0973.81044
Arutyunov, G. E.; Chekhov, L. O.; Frolov, S. A.
10
1998
Matrix model tools and geometry of moduli spaces. Zbl 0898.14008
Chekhov, L.
10
1997
Matrix models with hard walls: geometry and solutions. Zbl 1102.81060
Chekhov, L.
9
2006
Painlevé monodromy manifolds, decorated character varieties, and cluster algebras. Zbl 1405.30044
Chekhov, Leonid O.; Mazzocco, Marta; Rubtsov, Vladimir N.
7
2017
Isomonodromic deformations and twisted Yangians arising in Teichmüller theory. Zbl 1216.32008
Chekhov, Leonid; Mazzocco, Marta
7
2011
On quantizing Teichmüller and Thurston theories. Zbl 1125.32007
Chekhov, Leonid O.; Penner, Robert C.
7
2007
Colliding holes in Riemann surfaces and quantum cluster algebras. Zbl 1390.13066
Chekhov, Leonid; Mazzocco, Marta
6
2018
Logarithmic potential \(\beta \)-ensembles and Feynman graphs. Zbl 1227.81233
Chekhov, L. O.
6
2011
Quantum mapping class group, pentagon relation, and geodesics. Zbl 0983.32021
Fock, V. V.; Chekhov, L. O.
6
1999
Models of discretized moduli spaces, cohomological field theories, and Gaussian means. Zbl 1329.81298
Andersen, Jørgen Ellegaard; Chekhov, Leonid O.; Norbury, Paul; Penner, Robert C.
5
2015
Topological recursion for chord diagrams, RNA complexes, and cells in moduli spaces. Zbl 1262.81122
Andersen, Jørgen E.; Chekhov, Leonid O.; Penner, R. C.; Reidys, Christian M.; Sułkowski, Piotr
5
2013
Orbifold Riemann surfaces and geodesic algebras. Zbl 1178.81123
Chekhov, L. O.
5
2009
Teichmüller theory of bordered surfaces. Zbl 1155.30359
Chekhov, Leonid O.
5
2007
Introduction to Thurston’s quantum theory. Zbl 1055.32011
Chekhov, L. O.; Penner, R. C.
5
2003
Matrix model for discretized moduli space. Zbl 0793.14015
Chekhov, L.
5
1993
Seiberg-Witten equations and non-commutative spectral curves in Liouville theory. Zbl 1280.81117
Chekhov, Leonid; Eynard, Bertrand; Ribault, Sylvain
4
2013
Topological recursion for Gaussian means and cohomological field theories. Zbl 1335.81105
Andersen, J. E.; Chekhov, L. O.; Norbury, P.; Penner, R. C.
3
2015
Shear coordinate description of the quantized versal unfolding of a \(D_4\) singularity. Zbl 1205.32014
Chekhov, Leonid; Mazzocco, Marta
3
2010
Solving matrix models in the \(1/N\)-expansion. Zbl 1218.81086
Chekhov, L. O.
3
2006
\(L\) functions in scattering on \(p\)-adic multiloop surfaces. Zbl 0883.11023
Chekhov, L.
3
1995
A critical matrix model for nonoriented string. Zbl 1020.81745
Chekhov, L.; Zabrodin, A.
3
1991
p-adic string compactified on a torus. Zbl 0703.22010
Chekhov, L. O.; Zinov’ev, Yu. M.
3
1990
Poisson algebras of block-upper-triangular bilinear forms and braid group action. Zbl 1296.17008
Chekhov, Leonid; Mazzocco, Marta
2
2013
Orbifold Riemann surfaces: Teichmüller spaces and algebras of geodesic functions. Zbl 1207.30072
Mazzocco, M.; Chekhov, L. O.
2
2009
Riemann surfaces with orbifold points. Zbl 1183.30047
Chekhov, L. O.
2
2009
Hermitian matrix model with plaquette interaction. Zbl 0925.81305
Chekhov, L.; Kristjansen, C.
2
1996
Scattering on univalent graphs from the \(L\)-function point of view. Zbl 0978.11047
Chekhov, L. O.
2
1995
Multicut solutions of the matrix Kontsevich-Penner model. Zbl 0788.32016
Zarembo, K. L.; Chekhov, L. O.
2
1992
Spectral curves for hypergeometric Hurwitz numbers. Zbl 1394.81154
Ambjørn, Jan; Chekhov, Leonid O.
1
2018
The Harer-Zagier recursion for an irregular spectral curve. Zbl 1354.14079
Chekhov, Leonid O.
1
2016
Quantum ordering for quantum geodesic functions of orbifold Riemann surfaces. Zbl 1360.81167
Chekhov, Leonid O.; Mazzocco, Marta
1
2014
Block triangular bilinear forms and braid group action. Zbl 1380.17017
Chekhov, Leonid; Mazzocco, Marta
1
2012
Quantum dynamical \(R\)-matrices. Zbl 0957.81005
Arutyunov, G. E.; Chekhov, L. O.; Frolov, S. A.
1
1999
\(R\)-matrix quantization of the elliptic Ruijsenaars-Schneider model. Zbl 0978.81509
Arutyunov, G. E.; Chekhov, L. O.; Frolov, S. A.
1
1997
Discretized moduli spaces and matrix models. Zbl 0844.32017
Chekhov, L.
1
1996
Colliding holes in Riemann surfaces and quantum cluster algebras. Zbl 1390.13066
Chekhov, Leonid; Mazzocco, Marta
6
2018
Spectral curves for hypergeometric Hurwitz numbers. Zbl 1394.81154
Ambjørn, Jan; Chekhov, Leonid O.
1
2018
Painlevé monodromy manifolds, decorated character varieties, and cluster algebras. Zbl 1405.30044
Chekhov, Leonid O.; Mazzocco, Marta; Rubtsov, Vladimir N.
7
2017
The Harer-Zagier recursion for an irregular spectral curve. Zbl 1354.14079
Chekhov, Leonid O.
1
2016
Models of discretized moduli spaces, cohomological field theories, and Gaussian means. Zbl 1329.81298
Andersen, Jørgen Ellegaard; Chekhov, Leonid O.; Norbury, Paul; Penner, Robert C.
5
2015
Topological recursion for Gaussian means and cohomological field theories. Zbl 1335.81105
Andersen, J. E.; Chekhov, L. O.; Norbury, P.; Penner, R. C.
3
2015
The matrix model for dessins d’enfants. Zbl 1304.81130
Ambjørn, Jan; Chekhov, Leonid O.
22
2014
Teichmüller spaces of Riemann surfaces with orbifold points of arbitrary order and cluster variables. Zbl 1301.30042
Chekhov, Leonid; Shapiro, Michael
16
2014
A matrix model for hypergeometric Hurwitz numbers. Zbl 1318.33022
Ambjørn, J.; Chekhov, L. O.
13
2014
Quantum ordering for quantum geodesic functions of orbifold Riemann surfaces. Zbl 1360.81167
Chekhov, Leonid O.; Mazzocco, Marta
1
2014
Topological recursion for chord diagrams, RNA complexes, and cells in moduli spaces. Zbl 1262.81122
Andersen, Jørgen E.; Chekhov, Leonid O.; Penner, R. C.; Reidys, Christian M.; Sułkowski, Piotr
5
2013
Seiberg-Witten equations and non-commutative spectral curves in Liouville theory. Zbl 1280.81117
Chekhov, Leonid; Eynard, Bertrand; Ribault, Sylvain
4
2013
Poisson algebras of block-upper-triangular bilinear forms and braid group action. Zbl 1296.17008
Chekhov, Leonid; Mazzocco, Marta
2
2013
Block triangular bilinear forms and braid group action. Zbl 1380.17017
Chekhov, Leonid; Mazzocco, Marta
1
2012
Topological expansion of the \(\beta\)-ensemble model and quantum algebraic geometry in the sectorwise approach. Zbl 1354.81014
Chekhov, L. O.; Eynard, B.; Marchal, O.
32
2011
Isomonodromic deformations and twisted Yangians arising in Teichmüller theory. Zbl 1216.32008
Chekhov, Leonid; Mazzocco, Marta
7
2011
Logarithmic potential \(\beta \)-ensembles and Feynman graphs. Zbl 1227.81233
Chekhov, L. O.
6
2011
Shear coordinate description of the quantized versal unfolding of a \(D_4\) singularity. Zbl 1205.32014
Chekhov, Leonid; Mazzocco, Marta
3
2010
Orbifold Riemann surfaces and geodesic algebras. Zbl 1178.81123
Chekhov, L. O.
5
2009
Orbifold Riemann surfaces: Teichmüller spaces and algebras of geodesic functions. Zbl 1207.30072
Mazzocco, M.; Chekhov, L. O.
2
2009
Riemann surfaces with orbifold points. Zbl 1183.30047
Chekhov, L. O.
2
2009
On quantizing Teichmüller and Thurston theories. Zbl 1125.32007
Chekhov, Leonid O.; Penner, Robert C.
7
2007
Teichmüller theory of bordered surfaces. Zbl 1155.30359
Chekhov, Leonid O.
5
2007
Hermitian matrix model free energy: Feynman graph technique for all genera. Zbl 1226.81137
Chekhov, Leonid; Eynard, Bertrand
50
2006
Matrix eigenvalue model: Feynman graph technique for all genera. Zbl 1226.81138
Chekhov, Leonid; Eynard, Bertrand
38
2006
Free energy topological expansion for the 2-matrix model. Zbl 1226.81250
Chekhov, Leonid; Eynard, Bertrand; Orantin, Nicolas
37
2006
Matrix models with hard walls: geometry and solutions. Zbl 1102.81060
Chekhov, L.
9
2006
Solving matrix models in the \(1/N\)-expansion. Zbl 1218.81086
Chekhov, L. O.
3
2006
Complex geometry of matrix models. Zbl 1138.81493
Chekhov, L. O.; Marshakov, A. V.; Mironov, A. D.; Vasiliev, D.
14
2005
Genus-one correction to multicut matrix model solutions. Zbl 1178.81217
Chekhov, L. O.
11
2004
Matrix models vs. Seiberg-Witten/Whitham theories. Zbl 1006.81070
Chekhov, L.; Mironov, A.
34
2003
DV and WDVV. Zbl 1035.81036
Chekhov, L.; Marshakov, A.; Mironov, A.; Vasiliev, D.
19
2003
Introduction to Thurston’s quantum theory. Zbl 1055.32011
Chekhov, L. O.; Penner, R. C.
5
2003
Observables in 3D gravity and geodesic algebras. Zbl 1087.81510
Chekhov, L. O.; Fock, V. V.
19
2000
A quantum Teichmüller space. Zbl 0986.32007
Fock, V. V.; Chekhov, L. O.
62
1999
Quantum mapping class group, pentagon relation, and geodesics. Zbl 0983.32021
Fock, V. V.; Chekhov, L. O.
6
1999
Quantum dynamical \(R\)-matrices. Zbl 0957.81005
Arutyunov, G. E.; Chekhov, L. O.; Frolov, S. A.
1
1999
\(R\)-matrix quantization of the elliptic Ruijsenaars-Schneider model. Zbl 0973.81044
Arutyunov, G. E.; Chekhov, L. O.; Frolov, S. A.
10
1998
Matrix model tools and geometry of moduli spaces. Zbl 0898.14008
Chekhov, L.
10
1997
\(R\)-matrix quantization of the elliptic Ruijsenaars-Schneider model. Zbl 0978.81509
Arutyunov, G. E.; Chekhov, L. O.; Frolov, S. A.
1
1997
Hermitian matrix model with plaquette interaction. Zbl 0925.81305
Chekhov, L.; Kristjansen, C.
2
1996
Discretized moduli spaces and matrix models. Zbl 0844.32017
Chekhov, L.
1
1996
Matrix model calculations beyond the spherical limit. Zbl 1043.81636
Ambjørn, J.; Chekhov, L.; Kristjansen, C. F.; Makeenko, Yu.
62
1995
\(L\) functions in scattering on \(p\)-adic multiloop surfaces. Zbl 0883.11023
Chekhov, L.
3
1995
Scattering on univalent graphs from the \(L\)-function point of view. Zbl 0978.11047
Chekhov, L. O.
2
1995
Matrix model for discretized moduli space. Zbl 0793.14015
Chekhov, L.
5
1993
The multicritical Kontsevich-Penner model. Zbl 1021.81704
Chekhov, L.; Makeenko, Yu.
14
1992
Multicut solutions of the matrix Kontsevich-Penner model. Zbl 0788.32016
Zarembo, K. L.; Chekhov, L. O.
2
1992
A critical matrix model for nonoriented string. Zbl 1020.81745
Chekhov, L.; Zabrodin, A.
3
1991
p-adic string compactified on a torus. Zbl 0703.22010
Chekhov, L. O.; Zinov’ev, Yu. M.
3
1990
Multiloop calculations in p-adic string theory and Bruhat-Tits trees. Zbl 0685.22005
Chekhov, L. O.; Mironov, A. D.; Zabrodin, A. V.
16
1989
all top 5

Cited by 430 Authors

28 Chekhov, Leonid O.
23 Eynard, Bertrand
21 Mironov, Andrei D.
17 Morozov, Alexei Yurievich
10 Marchal, Olivier
9 Harnad, John
9 Mariño, Marcos
8 Guionnet, Alice
8 Shakirov, Sh. R.
7 Alexandrov, Alexander Sergeevich
7 Morozov, Al’bert Dmitrievich
6 Borot, Gaëtan
6 Bouchard, Vincent
6 Kim, Hyun Kyu
6 Mazzocco, Marta
6 Norbury, Paul T.
6 Orantin, Nicolas
6 Shadrin, Sergey V.
5 Ambjørn, Jan
5 Bonahon, Francis
5 Klemm, Albrecht
5 Penner, Robert C.
5 Rim, Chaiho
5 Sułkowski, Piotr
4 Andersen, Jørgen Ellegaard
4 Hikami, Kazuhiro
4 Itoyama, Hiroshi
4 Kashaev, Rinat M.
4 Lisovyy, Oleg
4 Manabe, Masahide
4 Popolitov, Aleksandr
4 Teschner, Jörg
4 Wong, Helen M.
3 Avan, Jean
3 Bergére, Michel
3 Bertola, Marco
3 Bonelli, Giulio
3 Brini, Andrea
3 Chapuy, Guillaume
3 Cunden, Fabio Deelan
3 Desrosiers, Patrick
3 Dijkgraaf, Robbert H.
3 Dunin-Barkovskiĭ, Petr Igorevich
3 Fock, Vladimir V.
3 Garoufalidis, Stavros
3 Gavrylenko, Pavlo
3 Ghoshal, Debashis
3 Goncharov, Alexander Borisovich
3 Iwaki, Kohei
3 Kazaryan, Maxim Eduardovich
3 Kostov, Ivan K.
3 Lewanski, Danilo
3 Liu, Xiaobo
3 Marshakov, Andrei V.
3 Maruyoshi, Kazunobu
3 Mezzadri, Francesco
3 Nekrasov, Nikita Alexandrovich
3 Osuga, Kento
3 Pasquetti, Sara
3 Schiappa, Ricardo
3 Shapiro, Michael Z.
3 Zabrodin, Anton V.
2 Agam, Oded
2 Akemann, Gernot
2 Aleksandrov, Aleksandr Grigor’evich
2 Alexandrov, A. D.
2 Allegretti, Dylan Gregory Lucasi
2 Anas Hahn, Marvin
2 Arutyunov, Gleb Eduardovich
2 Bai, Hua
2 Belliard, Raphael
2 Bettelheim, Eldad
2 Choi, Sang-Kwan
2 Ciosmak, Paweł
2 Dai, Jialiang
2 David, François
2 Dimofte, Tudor Dan
2 Do, Norman
2 Dubrovin, Boris Anatol’evich
2 Faddeev, Lyudvig Dmitrievich
2 Felikson, Anna Aleksandrovna
2 Fomin, Sergey Vladimirovich
2 Fuji, Hiroyuki
2 Grava, Tamara
2 Guay-Paquet, Mathieu
2 Gukov, Sergei
2 Hadasz, Leszek
2 Huang, Hau-wen
2 Huang, Minxin
2 Kashani-Poor, Amir-Kian
2 Klitz, Alexander
2 Korotkin, Dmitrii A.
2 Kozyrev, Sergeĭ Vladimirovich
2 Krefl, Daniel
2 Labardini-Fragoso, Daniel
2 Le, Thang Tu Quoc
2 Liu, Dangzheng
2 Makeenko, Yuri M.
2 Maurel-Segala, Edouard
2 McLaughlin, Kenneth D. T.-R.
...and 330 more Authors
all top 5

Cited in 78 Serials

67 Journal of High Energy Physics
32 Communications in Mathematical Physics
29 Nuclear Physics. B
23 Theoretical and Mathematical Physics
17 Journal of Mathematical Physics
14 Annales Henri Poincaré
13 Letters in Mathematical Physics
12 Advances in Mathematics
9 Journal of Geometry and Physics
7 International Journal of Modern Physics A
6 Journal of Algebra
6 Transactions of the American Mathematical Society
6 Algebraic & Geometric Topology
6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Proceedings of the Steklov Institute of Mathematics
5 Journal of Physics A: Mathematical and Theoretical
5 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD)
4 Geometriae Dedicata
3 Journal of Statistical Physics
3 Russian Mathematical Surveys
3 Reviews in Mathematical Physics
3 Geometry & Topology
3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
3 Random Matrices: Theory and Applications
2 Modern Physics Letters A
2 Functional Analysis and its Applications
2 Publications Mathématiques
2 Inventiones Mathematicae
2 Mathematische Zeitschrift
2 Physica D
2 International Journal of Mathematics
2 Journal of Mathematical Sciences (New York)
2 Selecta Mathematica. New Series
2 Acta Mathematica Sinica. English Series
2 Physical Review D. Series III
2 Journal of the Institute of Mathematics of Jussieu
2 Quantum Topology
1 International Journal of Modern Physics B
1 Nonlinearity
1 Chaos, Solitons and Fractals
1 Fortschritte der Physik
1 Acta Mathematica
1 The Annals of Probability
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Journal of Combinatorial Theory. Series A
1 Journal of Functional Analysis
1 Journal of the Mathematical Society of Japan
1 Journal of Pure and Applied Algebra
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Pacific Journal of Mathematics
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Studies in Applied Mathematics
1 European Journal of Combinatorics
1 Acta Mathematicae Applicatae Sinica. English Series
1 Graphs and Combinatorics
1 Constructive Approximation
1 Bulletin of the American Mathematical Society. New Series
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 St. Petersburg Mathematical Journal
1 Electronic Journal of Probability
1 Sbornik: Mathematics
1 Documenta Mathematica
1 Séminaire Lotharingien de Combinatoire
1 Algebras and Representation Theory
1 Physical Review Letters
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Statistical Mechanics: Theory and Experiment
1 Journal of Noncommutative Geometry
1 Journal of Topology and Analysis
1 Japanese Journal of Mathematics. 3rd Series
1 Forum of Mathematics, Pi
1 Forum of Mathematics, Sigma
1 Journal de l’École Polytechnique – Mathématiques
1 Algebraic Combinatorics
all top 5

Cited in 39 Fields

206 Quantum theory (81-XX)
84 Algebraic geometry (14-XX)
52 Manifolds and cell complexes (57-XX)
44 Combinatorics (05-XX)
40 Linear and multilinear algebra; matrix theory (15-XX)
37 Dynamical systems and ergodic theory (37-XX)
35 Nonassociative rings and algebras (17-XX)
35 Several complex variables and analytic spaces (32-XX)
34 Functions of a complex variable (30-XX)
30 Probability theory and stochastic processes (60-XX)
29 Special functions (33-XX)
29 Relativity and gravitational theory (83-XX)
27 Statistical mechanics, structure of matter (82-XX)
24 Differential geometry (53-XX)
21 Commutative algebra (13-XX)
19 Number theory (11-XX)
16 Associative rings and algebras (16-XX)
16 Global analysis, analysis on manifolds (58-XX)
14 Ordinary differential equations (34-XX)
12 Partial differential equations (35-XX)
11 Group theory and generalizations (20-XX)
10 Topological groups, Lie groups (22-XX)
7 Operator theory (47-XX)
5 Functional analysis (46-XX)
5 Mechanics of particles and systems (70-XX)
3 Difference and functional equations (39-XX)
3 Convex and discrete geometry (52-XX)
3 Statistics (62-XX)
2 General and overarching topics; collections (00-XX)
2 Field theory and polynomials (12-XX)
2 Category theory; homological algebra (18-XX)
2 Abstract harmonic analysis (43-XX)
2 Algebraic topology (55-XX)
2 Biology and other natural sciences (92-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Geometry (51-XX)

Citations by Year