Institut de Physique Théorique
Direction de la Recherche Fondamentale  -  Saclay
UMR 3681 - INP
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Lundi 29 mai 2017

84 publications trouvées

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0 dans la catégorie Preprints


70 dans la catégorie Articles

t10/187 The asymptotic expansion of Tracy-Widom GUE law and symplectic invariants,
Borot G., Eynard B.
arXiv:1012.2752

t10/166 Tracy-Widom GUE law and symplectic invariants,
Borot G., Eynard B.
arXiv:1011.1418

t10/154 Topological expansion of beta-ensemble model and quantum algebraic geometry in the sectorwise approach,
Chekhov L., Eynard B., Marchal O.
Theor. Math. Phys. 166 141-185 (2011)

t10/137 Large deviations of the maximal eigenvalue of random matrices,
Borot G., Eynard B., Majumdar S.N., Nadal C.
J. Stat. Mech. 2011 P11024 (2011)

t10/099 A matrix model for the topological string II: The spectral curve and mirror geometry,
Eynard B., Kashani-Poor A., Marchal O.
Ann. Henri Poincaré 14 119-158 (2010)

t10/029 A matrix model for the topological string I: Deriving the matrix model,
Eynard B., Kashani-Poor A., Marchal O.
Ann. Henri Poincaré 14 119 (2010)

t09/196 Geometrical interpretation of the topological recursion, and integrable string theories,
Eynard B., Orantin N.
arXiv:0911.5096

t09/175 Topological expansion of the Bethe ansatz, and quantum algebraic geometry,
Chekhov L., Eynard B., Marchal O.
arXiv:0911.1664

t09/170 A matrix model for the topological string I: Deriving the matrix model,
Eynard B., Kashani-Poor A., Marchal O.
arXiv:1003.1737

t09/163 Supermatrix models, loop equations, and duality,
Desrosiers P., Eynard B.
J. Math. Phys. 51 123304 (2010)

t09/160 Enumeration of maps with self avoiding loops and the O(n) model on random lattices of all topologies,
Borot G., Eynard B.
J. Stat. Mech. 2011 P01010 (2011)

t09/116 Universal scaling limits of matrix models, and (p,q) Liouville gravity,
Bergère M., Eynard B.
arXiv:0909.0854

t09/101 The Laplace transform of the cut-and-join equation and the Bouchard-Mariño conjecture on Hurwitz numbers,
Eynard B., Mulase M., Safnuk B.
Publ. RIMS 47 629-670 (2011)

t09/055 A matrix model for simple Hurwitz numbers, and topological recursion,
Borot G., Eynard B., Mulase M., Safnuk B.
J. Geom. Phys. 61 522-540 (2011)

t09/050 A Matrix model for plane partitions,
Eynard B.
J. Stat. Mech. P10011 (2009)

t09/015 Determinantal formulae and loop equations,
Bergère M., Eynard B.
arXiv:0901.3273

t08/189 Topological recursion in enumerative geometry and random matrices,
Eynard B., Orantin N.
J. Phys. A 42 293001 (2009)

t08/164 A holomorphic and background independent partition function for matrix models and topological strings,
Eynard B., Mariño M.
J. Geom. Phys. 61 1181-1202 (2011)

t08/140 Topological expansion of the Bethe ansatz, and non-commutative algebraic geometry,
Eynard B., Marchal O.
JHEP 0903 094 (2009)

t08/081 Some properties of angular integrals,
Bergère M., Eynard B.
J. Phys. A 42 265201 (2009)

t08/072 Topological expansion of the chain of matrices,
Eynard B., Prats-Ferrer A.
JHEP 0907 096 (2009)

t08/056 All order asymptotic expansion of large partitions,
Eynard B.
J. Stat. Mech. P07023 (2008)

t08/026 Large N expansion of convergent matrix integrals, holomorphic anomalies, and background independence,
Eynard B.
JHEP 0903 003 (2009)

t07/118 Topological expansion and boundary conditions,
Eynard B., Orantin N.
JHEP 0806 037 (2008)

t07/104 Recursion between Mumford volumes of moduli spaces,
Eynard B.
arXiv:0706.4403

t07/065 Weil-Petersson volume of moduli spaces, Mirzakhani's recursion and matrix models,
Eynard B., Orantin N.
arXiv:0705.3600

t07/055 Topological expansion of mixed correlations in the hermitian 2-matrix model and x-y symmetry of the F_g algebraic invariants,
Eynard B., Orantin N.
J. Phys. A 41 015203 (2008)

t07/021 Invariants of algebraic curves and topological expansion,
Eynard B., Orantin N.
Comm. Number Theory and Physics 1 347-452 (2007)

t07/020 Holomorphic anomaly and matrix models,
Eynard B., Orantin N., Mariño M.
JHEP 0706 058 (2007)

t06/131 Correlation functions of Harish-Chandra integrals over the orthogonal and the symplectic groups,
Prats Ferrer A., Eynard B., Di Francesco P., Zuber J.-B.
J. Stat. Phys. 129 885-935 (2007)

t06/046 Universal distribution of random matrix eigenvalues near the "birth of a cut" transition,
Eynard B.
J. Stat. Mech. P07005 (2006)

t06/037 Mixed correlation function and spectral curve for the 2-matrix model,
Bergère M., Eynard B.
J. Phys. A 39 15091-15134 (2006)

t06/017 Matrix eigenvalue model: Feynman graph technique for all genera,
Chekhov L., Eynard B.
JHEP 0612 026 (2006)

t06/016 Free energy topological expansion for the 2-matrix model,
Chekhov L., Eynard B., Orantin N.
JHEP 0612 053 (2006)

t05/046 Hermitean matrix model free energy: Feynman graph technique for all genera,
Chekhov L., Eynard B.
JHEP 0603 014 (2006)

t05/045 Topological expansion of the 2-matrix model correlation functions: diagrammatic rules for a residue formula,
Eynard B., Orantin N.
JHEP 0512 034 (2005)

t05/038 Loop equations for the semiclassical 2-matrix model with hard edges,
Eynard B.
J. Stat. Mech. P10006 (2005)

t05/037 Mixed correlation functions in the 2-matrix model, and the Bethe ansatz,
Eynard B., Orantin N.
JHEP 0508 028 (2005)

t05/011 2-matrix versus complex matrix model, integrals over the unitary group as triangular integrals,
Eynard B., Prats Ferrer A.
Commun. Math. Phys. 264 115-144 (2006)

t04/261 Generalized matrix models with rational potentials and isomonodromic tau functions,
Bertola M., Eynard B., Harnad J.

t04/086 Topological expansion for the 1-hermitian matrix model correlation functions,
Eynard B.
JHEP 0411 031 (2004)

t04/077 A short note about Morozov's formula,
Eynard B.
arXiv:math-ph/0406063

t04/020 Genus one contribution to free energy in Hermitian two-matrix model,
Eynard B., Kokotov A., Korotkin D.
Nucl. Phys. B 694 443-472 (2004)

t04/019 Semiclassical Orthogonal Polynomials, Matrix Models and Isomonodromic Tau Functions,
Bertola M., Eynard B., Harnad J.
Commun. Math. Phys. 263 401-437 (2006)

t04/010 $1/N^2$ correction to free energy in hermitian two-matrix model,
Eynard B., Korotkin D., Kokotov A.
Lett. Math. Phys. 71 199-207 (2005)

t03/139 The PDEs of biorthogonal polynomials arising in the two-matrix model,
Bertola M., Eynard B.
Math. Phys. Anal. Geom. 9 23-52 (2006)

t03/125 Master loop equations, free energy and correlations for the chain of matrices,
Eynard B.
JHEP 0311 018 (2003)

t03/106 Large N expansion of the 2-matrix model, multicut case,
Eynard B.
arXiv:math-ph/0307052

t03/028 Mixed correlation functions of the two-matrix model,
Bertola M., Eynard B.
J. Phys. A 36 7733-7750 (2003)

t02/128 Large N expansion of the 2-matrix model,
Eynard B.
JHEP 0301 051 (2003)

t02/120 BMN Correlators by Loop Equations,
Eynard B., Kristjansen C.
JHEP 0210 027 (2002)

t02/111 Double scaling limit in random matrix models and a nonlinear hierarchy of differential equations,
Bleher P.M., Eynard B.
J. Phys. A 36 3085-3105 (2003)

t02/097 Differential systems for biorthogonal polynomials appearing in 2-matrix models and the associated Riemann-Hilbert problem,
Bertola M., Eynard B., Harnad J.
Commun. Math. Phys. 243 193-240 (2003)

t02/050 Partition functions for matrix models and isomonodromic tau functions,
Bertola M., Eynard B., Harnad J.
J. Phys. A 36 3067-3083 (2003)

t01/092 A concise expression for the ODEs of orthogonal polynomials,
Eynard B.
Lett. Math. Phys. (submitted)

t01/047 Duality, Bi-orthogonal Polynomials and Multi-Matrix Models,
Bertola M., Eynard B., Harnad J.
Commun. Math. Phys. 229 73-120 (2002)

t00/170 Asymptotics of skew orthogonal polynomials,
Eynard B.
J. Phys. A 34 7591-7605 (2001)

t00/036 Breakdown of universality in multi-cut matrix models,
Bonnet G., David F., Eynard B.
J. Phys. A 33 6739-6768 (2000)

t99/060 The Potts-$q$ random matrix model: loop equations, critical exponents, and rational case,
Bonnet G., Eynard B.
Phys. Lett. B 463 273-279 (1999)

t98/007 Hamiltonian Cycles on a Random Three-coordinate Lattice,
Eynard B., Guitter E., Kristjansen C.
Nucl. Phys. B (1998)

t98/001 Correlation functions of eigenvalues of multi-matrix models, and the limit of a time dependent matrix,
Eynard B.
J. Phys. A 31 8081-8102 (1998)

t97/133 Coloring Random Triangulations,
Di Francesco P., Eynard B., Guitter E.
Nucl. Phys. B [FS] 516 543-587 (1998)

t97/122 An Iterative Solution of the Three-colour Problem,
Eynard B., Kristjansen C.
Nucl. Phys. B 516 529-542 (1998)

t97/112 Matrices coupled in a chain. I. Eigenvalue correlations,
Eynard B., Mehta M.L.
J. Phys. A 31 4449-4456 (1998)

t97/031 Eigenvalue distribution of large random matrices, from one matrix to several coupled matrices,
Eynard B.
Nucl. Phys. B 506 633-664 (1997)

t95/133 More on the exact solution of the $O(n)$ model on a random lattice and an investigation of the case $|n|>2$,
Eynard B., Kristjansen C.
Nucl. Phys. B 466 463-487 (1996)

t95/068 Exact solution of the O(n) model on a random lattice,
Eynard B., Kristjansen C.
Nucl. Phys. B (1995)

t93/145 Large random matrices: eigenvalue distribution,
Eynard B.
arXiv:hep-th/9401165

t92/163 Large order behaviour of 2D gravity coupled to $D<1$ matter,
Eynard B., Zinn-Justin J.
Phys. Lett. B 302 396-402 (1993)

t92/042 The $O(n)$ model on a random surface: critical points and large order behaviour,
Eynard B., Zinn-Justin J.
Nucl. Phys. B 386 558-591 (1992)


5 dans la catégorie Proceedings

t05/241 Formal matrix integrals and combinatorics of maps,
Eynard B.
CRM Series Math. Phys. (2007) Random Matrices, Random Processes and Integrable Systems

t01/123 Duality of spectral curves arising in two-matrix models,
Bertola M., Eynard B., Harnad J.
Theor. Math. Phys. 134 27-38 (2003) in: Procedings 2001 of the 15th Euroconference on Nonlinear Evolution Equations and Dynamical Systems (NEEDS 2001)

t00/241 The Potts-random-matrix-model,
Eynard B.
Workshop on Integrable Models in Condensed Matter and Non-Equilibrium Physics. Modčles intégrables, matičre condensée et phénomčnes loin de l'équilibre

t98/210 Hermitian matrices coupled in a chain: eigenvalue correlations and spacing functions,
Eynard B., Mahoux G., Mehta M.L., Normand J.-M.
XXth IUPAP International Conference on Statistical Physics, StatPhys 20

t94/185 Matrices aléatoires et gravitation quantique,
Eynard B.
2čmes Journées des Jeunes Chercheurs (JJC93), Physique des 2čmes Journées des Jeunes Chercheurs (JJC93), Physique des Particules et Théorie des Champs


0 dans la catégorie Ouvrages


2 dans la catégorie Cours

t05/036 Large N asymptotics of orthogonal polynomials, from integrability to algebraic geometry,
Eynard B.
arXiv:math-ph/0503052

t01/014 An introduction to Random Matrices. Saclay Lecture Notes,
Eynard B.


2 dans la catégorie These

t05/047 The 2-matrix model, biorthogonal polynomials, Riemann-Hilbert problem, and algebraic geometry,
Eynard B.

t95/033 Gravitation quantique bidimensionnelle et matrices aléatoires,
Eynard B.


0 dans la catégorie Seminaire


5 dans la catégorie Misc

t06/099 Geometry and large N expansion of matrix models,
Eynard B.

t05/088 Large N expansion of Formal matrix models,
Eynard B.

t05/023 Intégrabilité, modčles de matrices et géométrie algébrique,
Eynard B.

t02/249 Genus zero large n asymptotics of bi-orthogonal polynomials involved in the random 2-matrix model,
Bertola M., Eynard B., Harnad J.

t02/236 Heuristic asymptotics of biorthogonal polynomials,
Bertola M., Eynard B., Harnad J.


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