Edit Profile (opens in new tab) Eynard, Bertrand Co-Author Distance Author ID: eynard.bertrand Published as: Eynard, B.; Eynard, Bertrand Homepage: https://www.ihes.fr/en/professeur/bertrand-eynard-2/ External Links: Google Scholar Documents Indexed: 117 Publications since 1994, including 1 Book and 41 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 45 Co-Authors with 87 Joint Publications 802 Co-Co-Authors all top 5 Co-Authors 30 single-authored 13 Orantin, Nicolas 11 Marchal, Olivier 10 Borot, Gaëtan 8 Bergère, Michel 8 Harnad, John 7 Belliard, Raphael 7 Bertola, Marco 7 Chekhov, Leonid O. 5 Garcia-Failde, Elba 4 David, François 4 Kristjansen, Charlotte F. 3 Alexandrov, Alexander Sergeevich 3 Chapuy, Guillaume 3 Charbonnier, Séverin 3 Guitter, Emmanuel 3 Lewanski, Danilo 3 Mariño, Marcos 3 Oukassi, Soufiane 3 Prats Ferrer, A. 3 Ribault, Sylvain 2 Bonnet, Gabrielle 2 Bouchard, Vincent 2 Di Francesco, Philippe 2 Gregori, Paolo 2 Kashani-Poor, Amir-Kian 2 Kimura, Taro 2 Kokotov, Aleksey 2 Korotkin, Dmitrii A. 2 Mitsios, Dimitrios 2 Mulase, Motohico 1 Bleher, Pavel M. 1 Brini, Andrea 1 Dartois, Stéphane 1 Desrosiers, Patrick 1 Ferrer, Aleix Prats 1 Giacchetto, Alessandro 1 Majumdar, Satya N. 1 Mehta, Madan Lal 1 Nadal, Celine 1 Safnuk, Brad 1 Safnuk, Bradley 1 Schiappa, Ricardo 1 Weiße, Alexander 1 Wendland, Katrin 1 Zuber, Jean-Bernard all top 5 Serials 8 Communications in Mathematical Physics 8 Journal of Physics A: Mathematical and General 8 Annales Henri Poincaré 7 Nuclear Physics. B 6 Journal of High Energy Physics 6 Journal of Statistical Mechanics: Theory and Experiment 3 Journal of Mathematical Physics 3 Journal of Physics A: Mathematical and Theoretical 3 Communications in Number Theory and Physics 3 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions 2 Letters in Mathematical Physics 2 Theoretical and Mathematical Physics 2 Journal of Geometry and Physics 1 Journal of Statistical Physics 1 Physics Letters. B 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Selecta Mathematica. New Series 1 Mathematical Physics, Analysis and Geometry 1 Oberwolfach Reports 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Progress in Mathematical Physics 1 Quantum Topology 1 Random Matrices: Theory and Applications 1 Forum of Mathematics, Sigma 1 Journal de l’École Polytechnique – Mathématiques all top 5 Fields 45 Quantum theory (81-XX) 35 Algebraic geometry (14-XX) 26 Statistical mechanics, structure of matter (82-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 18 Dynamical systems and ergodic theory (37-XX) 14 Combinatorics (05-XX) 11 Ordinary differential equations (34-XX) 11 Probability theory and stochastic processes (60-XX) 10 Partial differential equations (35-XX) 9 Functions of a complex variable (30-XX) 7 Special functions (33-XX) 7 Manifolds and cell complexes (57-XX) 6 Relativity and gravitational theory (83-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Nonassociative rings and algebras (17-XX) 3 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Convex and discrete geometry (52-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 75 Publications have been cited 2,162 times in 851 Documents Cited by ▼ Year ▼ Invariants of algebraic curves and topological expansion. Zbl 1161.14026 Eynard, B.; Orantin, N. 341 2007 Topological recursion in enumerative geometry and random matrices. Zbl 1177.82049 Eynard, Bertrand; Orantin, Nicolas 118 2009 Counting surfaces. CRM Aisenstadt chair lectures. Zbl 1338.81005 Eynard, Bertrand 91 2016 Matrices coupled in a chain. I: Eigenvalue correlations. Zbl 0938.15012 Eynard, Bertrand; Mehta, Madan Lal 87 1998 Hermitian matrix model free energy: Feynman graph technique for all genera. Zbl 1226.81137 Chekhov, Leonid; Eynard, Bertrand 73 2006 Invariants of spectral curves and intersection theory of moduli spaces of complex curves. Zbl 1310.14037 Eynard, B. 71 2014 Breakdown of universality in multi-cut matrix models. Zbl 0963.82021 Bonnet, G.; David, F.; Eynard, B. 70 2000 Torus knots and mirror symmetry. Zbl 1256.81086 Brini, Andrea; Mariño, Marcos; Eynard, Bertrand 69 2012 Free energy topological expansion for the 2-matrix model. Zbl 1226.81250 Chekhov, Leonid; Eynard, Bertrand; Orantin, Nicolas 67 2006 The Laplace transform of the cut-and-join equation and the Bouchard-Mariño conjecture on Hurwitz numbers. Zbl 1225.14022 Eynard, Bertrand; Mulase, Motohico; Safnuk, Bradley 61 2011 Computation of open Gromov-Witten invariants for toric Calabi-Yau 3-folds by topological recursion, a proof of the BKMP conjecture. Zbl 1365.14072 Eynard, B.; Orantin, N. 59 2015 A matrix model for simple Hurwitz numbers, and topological recursion. Zbl 1225.14043 Borot, Gaëtan; Eynard, Bertrand; Mulase, Motohico; Safnuk, Brad 55 2011 Matrix eigenvalue model: Feynman graph technique for all genera. Zbl 1226.81138 Chekhov, Leonid; Eynard, Bertrand 53 2006 Topological expansion of mixed correlations in the Hermitian 2-matrix model and \(x-y\) symmetry of the \(F_{g}\) algebraic invariants. Zbl 1134.81040 Eynard, B.; Orantin, N. 48 2008 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. 44 2011 Think globally, compute locally. Zbl 1342.81513 Bouchard, Vincent; Eynard, Bertrand 43 2013 Abstract loop equations, topological recursion and new applications. Zbl 1329.14074 Borot, Gaëtan; Eynard, Bertrand; Orantin, Nicolas 42 2015 Exact solution of the \(O(n)\) model on a random lattice. Zbl 0925.81129 Eynard, B.; Kristjansen, C. 39 1995 All order asymptotics of hyperbolic knot invariants from non-perturbative topological recursion of A-polynomials. Zbl 1335.57019 Borot, Gaëtan; Eynard, Bertrand 39 2015 A holomorphic and background independent partition function for matrix models and topological strings. Zbl 1215.81084 Eynard, Bertrand; Mariño, Marcos 36 2011 Duality, biorthogonal polynomials and multi-matrix models. Zbl 1033.15015 Bertola, M.; Eynard, B.; Harnad, J. 33 2002 Reconstructing WKB from topological recursion. Zbl 1426.14009 Bouchard, Vincent; Eynard, Bertrand 30 2017 Large \(N\) expansion of the 2-matrix model. Zbl 1226.82029 Eynard, Bertrand 29 2003 Semiclassical orthogonal polynomials, matrix models and isomonodromic tau functions. Zbl 1131.82306 Bertola, M.; Eynard, B.; Harnad, J. 28 2006 Recursion between Mumford volumes of moduli spaces. Zbl 1245.14013 Eynard, Bertrand 27 2011 Eigenvalue distribution of large random matrices, from one matrix to several coupled matrices. Zbl 0925.82121 Eynard, B. 26 1997 Differential systems for biorthogonal polynomials appearing in 2-Matrix models and the associated Riemann-Hilbert problem. Zbl 1046.34098 Bertola, M.; Eynard, B.; Harnad, J. 25 2003 Large deviations of the maximal eigenvalue of random matrices. Zbl 1456.60015 Borot, G.; Eynard, B.; Majumdar, S. N.; Nadal, C. 24 2011 Weighted Hurwitz numbers and topological recursion: an overview. Zbl 1401.14147 Alexandrov, A.; Chapuy, G.; Eynard, B.; Harnad, J. 24 2018 More on the exact solution of the \(O(n)\) model on a random lattice and an investigation of the case \(|n|>2\). Zbl 1002.81521 Eynard, B.; Kristjansen, C. 23 1996 Geometry of spectral curves and all order dispersive integrable system. Zbl 1270.14017 Borot, Gaëtan; Eynard, Bertrand 22 2012 Formal matrix integrals and combinatorics of maps. Zbl 1257.81052 Eynard, B. 21 2011 Mixed correlation function and spectral curve for the 2-matrix model. Zbl 1107.81043 Bergère, M.; Eynard, B. 21 2006 An overview of the topological recursion. Zbl 1373.14029 Eynard, Bertrand 21 2014 Partition functions for matrix models and isomonodromic tau functions. Zbl 1050.37032 Bertola, M.; Eynard, B.; Harnad, J. 20 2003 Weighted Hurwitz numbers and topological recursion. Zbl 1472.37078 Alexandrov, A.; Chapuy, G.; Eynard, B.; Harnad, J. 20 2020 Rational differential systems, loop equations, and application to the \(q\)th reductions of KP. Zbl 1343.37061 Bergère, Michel; Borot, Gaëtan; Eynard, Bertrand 17 2015 Fermionic approach to weighted Hurwitz numbers and topological recursion. Zbl 1436.14060 Alexandrov, A.; Chapuy, Guillaume; Eynard, B.; Harnad, J. 17 2018 All order asymptotic expansion of large partitions. Zbl 1459.82002 Eynard, B. 17 2008 The Potts-\(q\) random matrix model: Loop equations, critical exponents, and rational case. Zbl 1037.82522 Eynard, B.; Bonnet, G. 16 1999 Double scaling limit in random matrix models and a nonlinear hierarchy of differential equations. Zbl 1053.15017 Bleher, Pavel; Eynard, Bertrand 16 2003 Some properties of angular integrals. Zbl 1167.81023 Bergère, M.; Eynard, B. 11 2009 A matrix model for the topological string. I: Deriving the matrix model. Zbl 1408.81027 Eynard, Bertrand; Kashani-Poor, Amir-Kian; Marchal, Olivier 10 2014 Genus one contribution to free energy in Hermitian two-matrix model. Zbl 1151.81382 Eynard, B.; Kokotov, A.; Korotkin, D. 9 2004 Correlation functions of Harish-Chandra integrals over the orthogonal and the symplectic groups. Zbl 1139.43004 Prats Ferrer, A.; Eynard, B.; Di Francesco, P.; Zuber, J.-B. 9 2007 Asymptotics of skew orthogonal polynomials. Zbl 0991.15015 Eynard, B. 9 2001 Coloring random triangulations. Zbl 0949.82006 Di Francesco, P.; Eynard, B.; Guitter, E. 9 1998 Integrable differential systems of topological type and reconstruction by the topological recursion. Zbl 1379.35273 Belliard, Raphaël; Eynard, Bertrand; Marchal, Olivier 9 2017 Loop equations and topological recursion for the arbitrary-\(\beta\) two-matrix model. Zbl 1309.81199 Bergère, M.; Eynard, B.; Marchal, O.; Prats-Ferrer, A. 9 2012 Universal distribution of random matrix eigenvalues near the “birth of a cut” transition. Zbl 1456.81372 Eynard, B. 9 2006 Enumeration of maps with self-avoiding loops and the \(\mathcal{O}(\mathfrak{n})\) model on random lattices of all topologies. Zbl 1456.82430 Borot, G.; Eynard, B. 9 2011 Duality of spectral curves arising in two-matrix models. Zbl 1068.81044 Bertola, M.; Eynard, B.; Harnad, J. 8 2003 The sine-law gap probability, Painlevé 5, and asymptotic expansion by the topological recursion. Zbl 1314.15027 Marchal, O.; Eynard, B.; Bergère, M. 7 2014 The PDEs of biorthogonal polynomials arising in the two-matrix model. Zbl 1107.33011 Bertola, Marco; Eynard, Bertrand 6 2006 An iterative solution of the three-colour problem on a random lattice. Zbl 0949.82005 Eynard, B.; Kristjansen, C. 6 1998 Mixed correlation functions of the two-matrix model. Zbl 1057.81060 Bertola, M.; Eynard, B. 6 2003 A matrix model for plane partitions. Zbl 1456.82437 Eynard, B. 6 2009 Correlation functions of eigenvalues of multi-matrix models, and the limit of a time-dependent matrix. Zbl 0936.15019 Eynard, B. 5 1998 2-matrix versus complex matrix model, integrals over the unitary group as triangular integrals. Zbl 1104.58002 Eynard, B.; Ferrer, A. Prats 5 2006 Erratum: “2-matrix versus complex matrix model, integrals over the unitary group as triangular integrals”. Zbl 1159.58302 Eynard, B.; Prats Ferrer, A. 5 2008 \(1/N^{2}\) correction to free energy in Hermitian two-matrix model. Zbl 1086.15023 Eynard, B.; Kokotov, A.; Korotkin, D. 5 2005 Planar maps, circle patterns and 2D gravity. Zbl 1297.52007 David, François; Eynard, Bertrand 5 2014 Toward \(\mathrm {U}(N|M)\) knot invariant from ABJM theory. Zbl 1370.81159 Eynard, Bertrand; Kimura, Taro 5 2017 Root systems, spectral curves, and analysis of a Chern-Simons matrix model for Seifert fibered spaces. Zbl 1367.14014 Borot, Gaëtan; Eynard, Bertrand; Weisse, Alexander 5 2017 Seiberg-Witten equations and non-commutative spectral curves in Liouville theory. Zbl 1280.81117 Chekhov, Leonid; Eynard, Bertrand; Ribault, Sylvain 5 2013 Loop equations from differential systems on curves. Zbl 1382.81111 Belliard, Raphaël; Eynard, Bertrand; Marchal, Olivier 4 2018 A matrix model for the topological string. II: The spectral curve and mirror geometry. Zbl 1260.81195 Eynard, Bertrand; Kashani-Poor, Amir-Kian; Marchal, Olivier 4 2013 Large \(N\) asymptotic of orthogonal polynomials from integrability to algebraic geometry. Zbl 1135.82010 Eynard, B. 3 2006 Hamiltonian cycles on a random three-coordinate lattice. Zbl 0955.82017 Eynard, B.; Guitter, E.; Kristjansen, C. 3 1998 Supermatrix models, loop equations, and duality. Zbl 1314.82031 Desrosiers, Patrick; Eynard, Bertrand 3 2010 Large Strebel graphs and \((3,2)\) Liouville CFT. Zbl 1392.81200 Charbonnier, Séverin; Eynard, Bertrand; David, François 2 2018 Loop equations for the semiclassical 2-matrix model with hard edges. Zbl 1456.82436 Eynard, B. 2 2005 Local properties of the random Delaunay triangulation model and topological models of 2D gravity. Zbl 1426.52010 Charbonnier, Séverin; David, François; Eynard, Bertrand 1 2019 From topological recursion to wave functions and PDEs quantizing hyperelliptic curves. Zbl 1524.14076 Eynard, Bertrand; Garcia-Failde, Elba 1 2023 Combinatorial expression of the fundamental second kind differential on an algebraic curve. Zbl 1492.14054 Eynard, Bertrand 1 2022 From topological recursion to wave functions and PDEs quantizing hyperelliptic curves. Zbl 1524.14076 Eynard, Bertrand; Garcia-Failde, Elba 1 2023 Combinatorial expression of the fundamental second kind differential on an algebraic curve. Zbl 1492.14054 Eynard, Bertrand 1 2022 Weighted Hurwitz numbers and topological recursion. Zbl 1472.37078 Alexandrov, A.; Chapuy, G.; Eynard, B.; Harnad, J. 20 2020 Local properties of the random Delaunay triangulation model and topological models of 2D gravity. Zbl 1426.52010 Charbonnier, Séverin; David, François; Eynard, Bertrand 1 2019 Weighted Hurwitz numbers and topological recursion: an overview. Zbl 1401.14147 Alexandrov, A.; Chapuy, G.; Eynard, B.; Harnad, J. 24 2018 Fermionic approach to weighted Hurwitz numbers and topological recursion. Zbl 1436.14060 Alexandrov, A.; Chapuy, Guillaume; Eynard, B.; Harnad, J. 17 2018 Loop equations from differential systems on curves. Zbl 1382.81111 Belliard, Raphaël; Eynard, Bertrand; Marchal, Olivier 4 2018 Large Strebel graphs and \((3,2)\) Liouville CFT. Zbl 1392.81200 Charbonnier, Séverin; Eynard, Bertrand; David, François 2 2018 Reconstructing WKB from topological recursion. Zbl 1426.14009 Bouchard, Vincent; Eynard, Bertrand 30 2017 Integrable differential systems of topological type and reconstruction by the topological recursion. Zbl 1379.35273 Belliard, Raphaël; Eynard, Bertrand; Marchal, Olivier 9 2017 Toward \(\mathrm {U}(N|M)\) knot invariant from ABJM theory. Zbl 1370.81159 Eynard, Bertrand; Kimura, Taro 5 2017 Root systems, spectral curves, and analysis of a Chern-Simons matrix model for Seifert fibered spaces. Zbl 1367.14014 Borot, Gaëtan; Eynard, Bertrand; Weisse, Alexander 5 2017 Counting surfaces. CRM Aisenstadt chair lectures. Zbl 1338.81005 Eynard, Bertrand 91 2016 Computation of open Gromov-Witten invariants for toric Calabi-Yau 3-folds by topological recursion, a proof of the BKMP conjecture. Zbl 1365.14072 Eynard, B.; Orantin, N. 59 2015 Abstract loop equations, topological recursion and new applications. Zbl 1329.14074 Borot, Gaëtan; Eynard, Bertrand; Orantin, Nicolas 42 2015 All order asymptotics of hyperbolic knot invariants from non-perturbative topological recursion of A-polynomials. Zbl 1335.57019 Borot, Gaëtan; Eynard, Bertrand 39 2015 Rational differential systems, loop equations, and application to the \(q\)th reductions of KP. Zbl 1343.37061 Bergère, Michel; Borot, Gaëtan; Eynard, Bertrand 17 2015 Invariants of spectral curves and intersection theory of moduli spaces of complex curves. Zbl 1310.14037 Eynard, B. 71 2014 An overview of the topological recursion. Zbl 1373.14029 Eynard, Bertrand 21 2014 A matrix model for the topological string. I: Deriving the matrix model. Zbl 1408.81027 Eynard, Bertrand; Kashani-Poor, Amir-Kian; Marchal, Olivier 10 2014 The sine-law gap probability, Painlevé 5, and asymptotic expansion by the topological recursion. Zbl 1314.15027 Marchal, O.; Eynard, B.; Bergère, M. 7 2014 Planar maps, circle patterns and 2D gravity. Zbl 1297.52007 David, François; Eynard, Bertrand 5 2014 Think globally, compute locally. Zbl 1342.81513 Bouchard, Vincent; Eynard, Bertrand 43 2013 Seiberg-Witten equations and non-commutative spectral curves in Liouville theory. Zbl 1280.81117 Chekhov, Leonid; Eynard, Bertrand; Ribault, Sylvain 5 2013 A matrix model for the topological string. II: The spectral curve and mirror geometry. Zbl 1260.81195 Eynard, Bertrand; Kashani-Poor, Amir-Kian; Marchal, Olivier 4 2013 Torus knots and mirror symmetry. Zbl 1256.81086 Brini, Andrea; Mariño, Marcos; Eynard, Bertrand 69 2012 Geometry of spectral curves and all order dispersive integrable system. Zbl 1270.14017 Borot, Gaëtan; Eynard, Bertrand 22 2012 Loop equations and topological recursion for the arbitrary-\(\beta\) two-matrix model. Zbl 1309.81199 Bergère, M.; Eynard, B.; Marchal, O.; Prats-Ferrer, A. 9 2012 The Laplace transform of the cut-and-join equation and the Bouchard-Mariño conjecture on Hurwitz numbers. Zbl 1225.14022 Eynard, Bertrand; Mulase, Motohico; Safnuk, Bradley 61 2011 A matrix model for simple Hurwitz numbers, and topological recursion. Zbl 1225.14043 Borot, Gaëtan; Eynard, Bertrand; Mulase, Motohico; Safnuk, Brad 55 2011 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. 44 2011 A holomorphic and background independent partition function for matrix models and topological strings. Zbl 1215.81084 Eynard, Bertrand; Mariño, Marcos 36 2011 Recursion between Mumford volumes of moduli spaces. Zbl 1245.14013 Eynard, Bertrand 27 2011 Large deviations of the maximal eigenvalue of random matrices. Zbl 1456.60015 Borot, G.; Eynard, B.; Majumdar, S. N.; Nadal, C. 24 2011 Formal matrix integrals and combinatorics of maps. Zbl 1257.81052 Eynard, B. 21 2011 Enumeration of maps with self-avoiding loops and the \(\mathcal{O}(\mathfrak{n})\) model on random lattices of all topologies. Zbl 1456.82430 Borot, G.; Eynard, B. 9 2011 Supermatrix models, loop equations, and duality. Zbl 1314.82031 Desrosiers, Patrick; Eynard, Bertrand 3 2010 Topological recursion in enumerative geometry and random matrices. Zbl 1177.82049 Eynard, Bertrand; Orantin, Nicolas 118 2009 Some properties of angular integrals. Zbl 1167.81023 Bergère, M.; Eynard, B. 11 2009 A matrix model for plane partitions. Zbl 1456.82437 Eynard, B. 6 2009 Topological expansion of mixed correlations in the Hermitian 2-matrix model and \(x-y\) symmetry of the \(F_{g}\) algebraic invariants. Zbl 1134.81040 Eynard, B.; Orantin, N. 48 2008 All order asymptotic expansion of large partitions. Zbl 1459.82002 Eynard, B. 17 2008 Erratum: “2-matrix versus complex matrix model, integrals over the unitary group as triangular integrals”. Zbl 1159.58302 Eynard, B.; Prats Ferrer, A. 5 2008 Invariants of algebraic curves and topological expansion. Zbl 1161.14026 Eynard, B.; Orantin, N. 341 2007 Correlation functions of Harish-Chandra integrals over the orthogonal and the symplectic groups. Zbl 1139.43004 Prats Ferrer, A.; Eynard, B.; Di Francesco, P.; Zuber, J.-B. 9 2007 Hermitian matrix model free energy: Feynman graph technique for all genera. Zbl 1226.81137 Chekhov, Leonid; Eynard, Bertrand 73 2006 Free energy topological expansion for the 2-matrix model. Zbl 1226.81250 Chekhov, Leonid; Eynard, Bertrand; Orantin, Nicolas 67 2006 Matrix eigenvalue model: Feynman graph technique for all genera. Zbl 1226.81138 Chekhov, Leonid; Eynard, Bertrand 53 2006 Semiclassical orthogonal polynomials, matrix models and isomonodromic tau functions. Zbl 1131.82306 Bertola, M.; Eynard, B.; Harnad, J. 28 2006 Mixed correlation function and spectral curve for the 2-matrix model. Zbl 1107.81043 Bergère, M.; Eynard, B. 21 2006 Universal distribution of random matrix eigenvalues near the “birth of a cut” transition. Zbl 1456.81372 Eynard, B. 9 2006 The PDEs of biorthogonal polynomials arising in the two-matrix model. Zbl 1107.33011 Bertola, Marco; Eynard, Bertrand 6 2006 2-matrix versus complex matrix model, integrals over the unitary group as triangular integrals. Zbl 1104.58002 Eynard, B.; Ferrer, A. Prats 5 2006 Large \(N\) asymptotic of orthogonal polynomials from integrability to algebraic geometry. Zbl 1135.82010 Eynard, B. 3 2006 \(1/N^{2}\) correction to free energy in Hermitian two-matrix model. Zbl 1086.15023 Eynard, B.; Kokotov, A.; Korotkin, D. 5 2005 Loop equations for the semiclassical 2-matrix model with hard edges. Zbl 1456.82436 Eynard, B. 2 2005 Genus one contribution to free energy in Hermitian two-matrix model. Zbl 1151.81382 Eynard, B.; Kokotov, A.; Korotkin, D. 9 2004 Large \(N\) expansion of the 2-matrix model. Zbl 1226.82029 Eynard, Bertrand 29 2003 Differential systems for biorthogonal polynomials appearing in 2-Matrix models and the associated Riemann-Hilbert problem. Zbl 1046.34098 Bertola, M.; Eynard, B.; Harnad, J. 25 2003 Partition functions for matrix models and isomonodromic tau functions. Zbl 1050.37032 Bertola, M.; Eynard, B.; Harnad, J. 20 2003 Double scaling limit in random matrix models and a nonlinear hierarchy of differential equations. Zbl 1053.15017 Bleher, Pavel; Eynard, Bertrand 16 2003 Duality of spectral curves arising in two-matrix models. Zbl 1068.81044 Bertola, M.; Eynard, B.; Harnad, J. 8 2003 Mixed correlation functions of the two-matrix model. Zbl 1057.81060 Bertola, M.; Eynard, B. 6 2003 Duality, biorthogonal polynomials and multi-matrix models. Zbl 1033.15015 Bertola, M.; Eynard, B.; Harnad, J. 33 2002 Asymptotics of skew orthogonal polynomials. Zbl 0991.15015 Eynard, B. 9 2001 Breakdown of universality in multi-cut matrix models. Zbl 0963.82021 Bonnet, G.; David, F.; Eynard, B. 70 2000 The Potts-\(q\) random matrix model: Loop equations, critical exponents, and rational case. Zbl 1037.82522 Eynard, B.; Bonnet, G. 16 1999 Matrices coupled in a chain. I: Eigenvalue correlations. Zbl 0938.15012 Eynard, Bertrand; Mehta, Madan Lal 87 1998 Coloring random triangulations. Zbl 0949.82006 Di Francesco, P.; Eynard, B.; Guitter, E. 9 1998 An iterative solution of the three-colour problem on a random lattice. Zbl 0949.82005 Eynard, B.; Kristjansen, C. 6 1998 Correlation functions of eigenvalues of multi-matrix models, and the limit of a time-dependent matrix. Zbl 0936.15019 Eynard, B. 5 1998 Hamiltonian cycles on a random three-coordinate lattice. Zbl 0955.82017 Eynard, B.; Guitter, E.; Kristjansen, C. 3 1998 Eigenvalue distribution of large random matrices, from one matrix to several coupled matrices. Zbl 0925.82121 Eynard, B. 26 1997 More on the exact solution of the \(O(n)\) model on a random lattice and an investigation of the case \(|n|>2\). Zbl 1002.81521 Eynard, B.; Kristjansen, C. 23 1996 Exact solution of the \(O(n)\) model on a random lattice. Zbl 0925.81129 Eynard, B.; Kristjansen, C. 39 1995 all cited Publications top 5 cited Publications all top 5 Cited by 785 Authors 42 Eynard, Bertrand 35 Mironov, Andrei D. 35 Morozov, Alexei Yurievich 26 Mariño, Marcos 23 Bertola, Marco 23 Borot, Gaëtan 20 Shadrin, Sergey V. 18 Harnad, John 17 Popolitov, Aleksandr 16 Forrester, Peter J. 16 Sułkowski, Piotr 15 Alexandrov, Alexander Sergeevich 15 Marchal, Olivier 15 Norbury, Paul T. 14 Lewanski, Danilo 13 Chekhov, Leonid O. 13 Di Francesco, Philippe 13 Guionnet, Alice 13 Okuyama, Kazumi 12 Dunin-Barkovskiĭ, Petr Igorevich 12 Orantin, Nicolas 11 Morozov, Andreĭ Alekseevich 11 Mulase, Motohico 10 Borodin, Alexei 10 Bouchard, Vincent 10 Brini, Andrea 10 Do, Norman 10 Duits, Maurice 10 Grassi, Alba 10 Guitter, Emmanuel 10 Kuijlaars, Arno B. J. 9 Iwaki, Kohei 9 Klemm, Albrecht 8 Chapuy, Guillaume 8 Dubrovin, Boris Anatol’evich 8 Korotkin, Dmitrii A. 8 Morozov, Al’bert Dmitrievich 8 Yang, Di 7 Bouttier, Jérémie 7 Fang, Bohan 7 Hock, Alexander 7 Kramer, Reinier 7 Manabe, Masahide 7 Osuga, Kento 7 Wulkenhaar, Raimar 6 Akemann, Gernot 6 Anas Hahn, Marvin 6 Bleher, Pavel M. 6 Bousquet-Mélou, Mireille 6 Dijkgraaf, Robbert H. 6 Gukov, Sergei 6 Huang, Minxin 6 Katori, Makoto 6 Kostov, Ivan K. 6 Mezzadri, Francesco 6 Orlov, Aleksandr Yu. 6 Pasquetti, Sara 6 Sakai, Kazuhiro 6 Shakirov, Sh. R. 6 Wang, Dong 5 Adler, Mark 5 Andersen, Jørgen Ellegaard 5 Bourgine, Jean-Emile 5 Charbonnier, Séverin 5 Chester, Shai M. 5 Claeys, Tom 5 Cotler, Jordan S. 5 Dołęga, Maciej 5 Dumitrescu, Olivia M. 5 Ferrari, Patrik Lino 5 Fuji, Hiroyuki 5 Grava, Tamara 5 Gu, Jie 5 Hadasz, Leszek 5 Jensen, Kristan 5 Kazakov, Vladimir A. 5 Kieburg, Mario 5 Pérez Sánchez, Carlos Ignacio 5 Ramadevi, Pichai 5 Remenik, Daniel 5 Rim, Chaiho 5 Runov, Boris A. 5 Schiappa, Ricardo 5 Tanzini, Alessandro 5 Turiaci, Gustavo J. 5 van Moerbeke, Pierre 5 Zakany, Szabolcs 5 Zenkevich, Yegor 5 Zhu, Shengmao 4 Álvarez, Gabriel 4 Ambjørn, Jan 4 Bonelli, Giulio 4 Bonzom, Valentin 4 Branahl, Johannes 4 Caracciolo, Sergio 4 Chan, Chuantsung 4 Ciosmak, Paweł 4 Cunden, Fabio Deelan 4 David, François 4 Deaño, Alfredo ...and 685 more Authors all top 5 Cited in 123 Serials 177 Journal of High Energy Physics 90 Communications in Mathematical Physics 57 Nuclear Physics. B 36 Journal of Physics A: Mathematical and Theoretical 33 Letters in Mathematical Physics 31 Journal of Mathematical Physics 27 Annales Henri Poincaré 23 Journal of Statistical Physics 20 Advances in Mathematics 17 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 16 Theoretical and Mathematical Physics 14 Journal of Geometry and Physics 12 Journal of Statistical Mechanics: Theory and Experiment 11 Journal of Approximation Theory 11 Random Matrices: Theory and Applications 10 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions 9 The Electronic Journal of Combinatorics 8 The Annals of Probability 8 Physica D 8 Selecta Mathematica. New Series 7 International Journal of Modern Physics A 7 Transactions of the American Mathematical Society 7 Probability Theory and Related Fields 6 Journal of Combinatorial Theory. Series A 5 Constructive Approximation 5 Geometry & Topology 4 Physics Letters. B 4 Journal of Functional Analysis 4 Mathematical Physics, Analysis and Geometry 4 Acta Mathematica Sinica. English Series 4 Analysis and Mathematical Physics 4 Forum of Mathematics, Sigma 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Reviews in Mathematical Physics 3 Duke Mathematical Journal 3 Inventiones Mathematicae 3 Journal of Computational and Applied Mathematics 3 Journal of the London Mathematical Society. Second Series 3 Mathematische Annalen 3 European Journal of Combinatorics 3 Advances in Applied Mathematics 3 International Journal of Mathematics 3 Bulletin of the American Mathematical Society. New Series 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Journal of Mathematical Sciences (New York) 3 Séminaire Lotharingien de Combinatoire 3 Oberwolfach Reports 2 Communications on Pure and Applied Mathematics 2 Journal of Mathematical Analysis and Applications 2 Nonlinearity 2 Fortschritte der Physik 2 Annales de l’Institut Fourier 2 Canadian Journal of Mathematics 2 Journal of Algebra 2 Journal für die Reine und Angewandte Mathematik 2 Michigan Mathematical Journal 2 Journal of the American Mathematical Society 2 Journal of Algebraic Combinatorics 2 Electronic Journal of Probability 2 The Ramanujan Journal 2 Moscow Mathematical Journal 2 Advances in High Energy Physics 2 Science China. Mathematics 2 Journal de l’École Polytechnique – Mathématiques 2 Algebraic Combinatorics 1 International Journal of Modern Physics B 1 Bulletin of the Australian Mathematical Society 1 Classical and Quantum Gravity 1 Discrete Mathematics 1 Physics Reports 1 Acta Mathematica 1 Bulletin of the London Mathematical Society 1 Functional Analysis and its Applications 1 Publications Mathématiques 1 Journal of Combinatorial Theory. Series B 1 Memoirs of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Transactions of the Moscow Mathematical Society 1 Topology and its Applications 1 Chinese Annals of Mathematics. Series B 1 Advances in Mathematics (Beijing) 1 Graphs and Combinatorics 1 Algorithmica 1 Revista Matemática Iberoamericana 1 Publicacions Matemàtiques 1 Formal Aspects of Computing 1 The Annals of Applied Probability 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Annals of Physics 1 L’Enseignement Mathématique. 2e Série 1 Linear Algebra and its Applications 1 SIAM Journal on Mathematical Analysis 1 Stochastic Processes and their Applications 1 Journal of Knot Theory and its Ramifications 1 Journal of Nonlinear Science 1 Potential Analysis 1 St. Petersburg Mathematical Journal 1 Integral Transforms and Special Functions 1 Documenta Mathematica ...and 23 more Serials all top 5 Cited in 52 Fields 449 Quantum theory (81-XX) 232 Algebraic geometry (14-XX) 180 Probability theory and stochastic processes (60-XX) 154 Linear and multilinear algebra; matrix theory (15-XX) 142 Combinatorics (05-XX) 141 Statistical mechanics, structure of matter (82-XX) 90 Relativity and gravitational theory (83-XX) 89 Dynamical systems and ergodic theory (37-XX) 73 Special functions (33-XX) 64 Manifolds and cell complexes (57-XX) 59 Differential geometry (53-XX) 51 Global analysis, analysis on manifolds (58-XX) 48 Partial differential equations (35-XX) 47 Ordinary differential equations (34-XX) 40 Nonassociative rings and algebras (17-XX) 35 Several complex variables and analytic spaces (32-XX) 30 Functions of a complex variable (30-XX) 24 Number theory (11-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 21 Statistics (62-XX) 19 Mechanics of particles and systems (70-XX) 13 Operator theory (47-XX) 12 Group theory and generalizations (20-XX) 10 Associative rings and algebras (16-XX) 10 Functional analysis (46-XX) 9 Convex and discrete geometry (52-XX) 8 Mathematical logic and foundations (03-XX) 8 Difference and functional equations (39-XX) 7 Topological groups, Lie groups (22-XX) 7 Potential theory (31-XX) 7 Approximations and expansions (41-XX) 6 Algebraic topology (55-XX) 5 Geometry (51-XX) 5 Numerical analysis (65-XX) 5 Computer science (68-XX) 3 General and overarching topics; collections (00-XX) 3 Category theory; homological algebra (18-XX) 3 Measure and integration (28-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 2 Information and communication theory, circuits (94-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 \(K\)-theory (19-XX) 1 Real functions (26-XX) 1 General topology (54-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) Citations by Year