Bertrand Eynard

79
Documents

Domaines de recherche

Physique mathématique [math-ph]

Publications

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Publications

Adult norms for the decision-making MindPulse Digital Test

Jennyfer Ansado , Bertrand Eynard , Nastasia Mirofle , Charlotte Mennetrey , Jasmine Banchereau et al.

Applied Neuropsychology: Adult, 2025, 32 (6), pp.1732-1750. ⟨10.1080/23279095.2024.2307413⟩

Article dans une revue hal-04541810v1

Topological recursion for generalised Kontsevich graphs and r-spin intersection numbers

Raphaël Belliard , Séverin Charbonnier , Bertrand Eynard , Elba Garcia-Failde

Selecta Math., 2025, 31 (5), pp.88. ⟨10.1007/s00029-025-01081-2⟩

Article dans une revue hal-03244160v1
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Quantization of classical spectral curves via topological recursion

Bertrand Eynard , Elba Garcia-Failde , Olivier Marchal , Nicolas Orantin

Communications in Mathematical Physics, 2024, ⟨10.1007/s00220-024-04997-6⟩

Article dans une revue hal-03254701v2

Resurgent Asymptotics of Jackiw-Teitelboim Gravity and the Nonperturbative Topological Recursion

Bertrand Eynard , Elba Garcia-Failde , Paolo Gregori , Danilo Lewanski , Ricardo Schiappa

Annales Henri Poincaré, 2024, 25 (9), pp.4121-4193. ⟨10.1007/s00023-023-01412-z⟩

Article dans une revue hal-04121898v1

A natural basis for intersection numbers

Bertrand Eynard , Danilo Lewański , Adrien Ooms

Rend. Ist. Mat. Univ. Trieste, 2023, 55, pp.6. ⟨10.13137/2464-8728/35487⟩

Article dans une revue hal-03321189v1
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Combinatorial expression of the fundamental second kind differential on an algebraic curve

Bertrand Eynard

Annales de l’Institut Henri Poincaré (D) Combinatorics, Physics and their Interactions, 2022, 9 (2), pp.219-238. ⟨10.4171/aihpd/116⟩

Article dans une revue hal-01871746v1
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A Dissociation of Attention, Executive Function and Reaction to Difficulty: Development of the MindPulse Test, a Novel Digital Neuropsychological Test for Precise Quantification of Perceptual-Motor Decision-Making Processes

Sandra Suarez , Bertrand Eynard , Sylvie Granon

Frontiers in Neuroscience, 2021, 15, pp.650219. ⟨10.3389/fnins.2021.650219⟩

Article dans une revue hal-03408288v1

Weighted Hurwitz numbers and topological recursion

A. Alexandrov , G. Chapuy , B. Eynard , J. Harnad

Communications in Mathematical Physics, 2020, 375 (1), pp.237-305. ⟨10.1007/s00220-020-03717-0⟩

Article dans une revue hal-01839691v1

Fermionic approach to weighted Hurwitz numbers and topological recursion

A. Alexandrov , G. Chapuy , B. Eynard , J. Harnad

Communications in Mathematical Physics, 2018, 360 (2), pp.777-826. ⟨10.1007/s00220-017-3065-9⟩

Article dans une revue hal-01797838v1
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Large Strebel Graphs and (3,2) Liouville CFT

Séverin Charbonnier , Bertrand Eynard , François David

Annales Henri Poincaré, 2018, 19 (6), pp.1611-1645. ⟨10.1007/s00023-018-0662-x⟩

Article dans une revue cea-01692054v1

Weighted Hurwitz numbers and topological recursion: An overview

A. Alexandrov , G. Chapuy , B. Eynard , J. Harnad

Journal of Mathematical Physics, 2018, 59 (8), pp.081102. ⟨10.1063/1.5013201⟩

Article dans une revue hal-01880881v1
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The geometry of Casimir W-algebras

Raphaël Belliard , Bertrand Eynard , Sylvain Ribault

SciPost Physics, 2018, 5 (051), ⟨10.21468/SciPostPhys.5.5.051⟩

Article dans une revue hal-02359673v1
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Root systems, spectral curves, and analysis of a Chern-Simons matrix model for Seifert fibered spaces

Gaëtan Borot , Bertrand Eynard , Alexander Weisse

Selecta Mathematica (New Series), 2017, 23, pp.915-1025. ⟨10.1007/s00029-016-0266-6⟩

Article dans une revue cea-01278006v2
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Integrable Differential Systems of Topological Type and Reconstruction by the Topological Recursion

Raphaël Belliard , Bertrand Eynard , Olivier Marchal

Annales Henri Poincaré, 2017, 8, ⟨10.1007/s00023-017-0595-9⟩

Article dans une revue hal-01376169v2
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Loop equations from differential systems

Bertrand Eynard , Raphaël Belliard , Olivier Marchal

Annales Henri Poincaré, 2017, 19 (2018), pp.141-161

Article dans une revue hal-01269843v1
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Rational differential systems, loop equations, and application to the q-th reductions of KP

Michel Bergère , Gaëtan Borot , Bertrand Eynard

Annales Henri Poincaré, 2015, 16, pp.2713-2782. ⟨10.1007/s00023-014-0391-8⟩

Article dans une revue cea-01117895v1
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An analysis of the intermediate field theory of $T^4$ tensor model

Viet Anh Nguyen , Stephane Dartois , Bertrand Eynard

Journal of High Energy Physics, 2015, ⟨10.1007/JHEP01(2015)013⟩

Article dans une revue cea-01277978v1
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Lax matrix solution of c = 1 conformal field theory

Bertrand Eynard , Sylvain Ribault

Journal of High Energy Physics, 2014, 2014 (59), ⟨10.1007/JHEP02(2014)059⟩

Article dans une revue cea-01230212v1
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A Matrix Model for the Topological String I: Deriving the Matrix Model

Bertrand Eynard , Kashani-Poor Amir , Olivier Marchal

Annales Henri Poincaré, 2014, 15 (10), pp.1867-1901. ⟨10.1007/s00023-013-0290-4⟩

Article dans une revue hal-01062787v1
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The sinelaw gap probability, Painlevé 5, and asymptotic expansion by the topological recursion

Olivier Marchal , Bertrand Eynard , Michel Bergere

Random Matrices: Theory and Applications, 2014, 3 (3), pp.1450013. ⟨10.1142/S2010326314500130⟩

Article dans une revue hal-01062795v1
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Planar maps, circle patterns and 2d gravity

François David , Bertrand Eynard

Annales de l’Institut Henri Poincaré (D) Combinatorics, Physics and their Interactions, 2014, 1, pp.139 - 183. ⟨10.4171/AIHPD/5⟩

Article dans une revue cea-01509872v1
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A matrix model for the topological string II: The spectral curve and mirror geometry

Bertrand Eynard , Amir-Kian Kashani-Poor , Olivier Marchal

Annales de l'Institut Henri Poincaré, 2013, 14 (1), pp.119-158. ⟨10.1007/s00023-012-0184-x⟩

Article dans une revue hal-00863595v1
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Seiberg-Witten equations and non-commutative spectral curves in Liouville theory

Leonid Chekhov , Bertrand Eynard , Sylvain Ribault

Journal of Mathematical Physics, 2013, 54 (2), pp.022306. ⟨10.1063/1.4792241⟩

Article dans une revue hal-01196768v1
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Loop equations and topological recursion for the arbitrary β two-matrix model

Michel Bergere , Bertrand Eynard , Olivier Marchal , Aleix Prats Ferrer

Journal of High Energy Physics, 2012, pp.JHEP03(2012)098. ⟨10.1007/JHEP03(2012)098⟩

Article dans une revue hal-00863705v1
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Loop equations and topological recursion for the arbitrary-β two-matrix model

Michel Bergère , Bertrand Eynard , O Marchal , A Prats-Ferrer

Journal of High Energy Physics, 2012, pp.45

Article dans une revue cea-01117922v1
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Topological expansion of the β-ensemble model and quantum algebraic geometry in the sectorwise approach

Leonid Chekhov , Bertrand Eynard , Olivier Marchal

Theoretical and Mathematical Physics, 2011, 166 (2), pp.141-185. ⟨10.1007/s11232-011-0012-3⟩

Article dans une revue hal-00863727v1

Large deviations of the maximal eigenvalue of random matrices

Gaëtan Borot , Bertrand Eynard , Satya N. Majumdar , Céline Nadal

Journal of Statistical Mechanics: Theory and Experiment, 2011, pp.P11024. ⟨10.1088/1742-5468/2011/11/P11024⟩

Article dans une revue hal-00647814v1
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Topological expansion of the Bethe ansatz, and non-commutative algebraic geometry

Bertrand Eynard , Olivier Marchal

Journal of High Energy Physics, 2009, pp.JHEP03(2009)094. ⟨10.1088/1126-6708/2009/03/094⟩

Article dans une revue hal-00863583v1
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Universal distribution of random matrix eigenvalues near the "birth of a cut'' transition.

Bertrand Eynard

Journal of Statistical Mechanics: Theory and Experiment, 2006, P07005, pp.P07005. ⟨10.1088/1742-5468/2006/07/P07005⟩

Article dans une revue hal-00071122v1

Correlation functions of eigenvalues of multi-matrix models, and the limit of a time dependent matrix | Corrélations des valeurs propres d'une chaîne de matrices aléatoires, et la limite d'une matrice dépendant du temps

B. Eynard

Journal of Physics A: Mathematical and Theoretical, 1998, 31, pp.8081-8102

Article dans une revue hal-00087022v1

Counting mobiles by integrable systems

Michel Bergère , Bertrand Eynard , Emmanuel Guitter , Soufiane Oukassi

2023

Pré-publication, Document de travail hal-04344273v1

Resurgent large genus asymptotics of intersection numbers

Bertrand Eynard , Elba Garcia-Failde , Alessandro Giacchetto , Paolo Gregori , Danilo Lewański

2023

Pré-publication, Document de travail hal-04230008v1

Generalized cycles on Spectral Curves

B Eynard

2023

Pré-publication, Document de travail hal-04344206v1

Topological Recursion, Airy structures in the space of cycles

B. Eynard

2020

Pré-publication, Document de travail hal-02459862v1

Solutions of loop equations are random matrices

B. Eynard

2019

Pré-publication, Document de travail hal-02339035v1

Large genus behavior of topological recursion

Bertrand Eynard

2019

Pré-publication, Document de travail hal-02154180v1

From the quantum geometry of Fuchsian systems to conformal blocks of W-algebras

Raphaël Belliard , Bertrand Eynard

2019

Pré-publication, Document de travail hal-02283525v1
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Large genus behavior of topological recursion

Bertrand Eynard

2019

Pré-publication, Document de travail cea-02126908v1
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FROM TOPOLOGICAL RECURSION TO WAVE FUNCTIONS AND PDES QUANTIZING HYPERELLIPTIC CURVES

Bertrand Eynard , Elba Garcia-Failde

2019

Pré-publication, Document de travail cea-02400848v1
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Integrability of W( sl d )-symmetric Toda conformal field theories I : Quantum geometry

Raphaël Belliard , Bertrand Eynard

2018

Pré-publication, Document de travail cea-01693977v1

Integrability of $\mathcal W({\mathfrak{sl}_d})$-symmetric Toda conformal field theories I : Quantum geometry

Raphaël Belliard , Bertrand Eynard

2018

Pré-publication, Document de travail hal-01703642v1
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Local properties of the random Delaunay triangulation model and topological 2D gravity

Séverin Charbonnier , François David , Bertrand Eynard

2017

Pré-publication, Document de travail cea-01509788v1
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Towards U(N|M) knot invariant from ABJM theory

Bertrand Eynard , Taro Kimura

2016

Pré-publication, Document de travail cea-01277951v1
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Another algebraic variational principle for the spectral curve of matrix models

Bertrand Eynard

2016

Pré-publication, Document de travail cea-01277989v1
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Random matrices

Bertrand Eynard , Taro Kimura , Sylvain Ribault

2016

Pré-publication, Document de travail cea-01252029v1
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Rational differential systems, loop equations, and application to the q-th reductions of KP

Michel Bergère , Gaëtan Borot , Bertrand Eynard

2016

Pré-publication, Document de travail cea-01252759v1

Rational differential systems, loop equations, and application to the q-th reductions of KP

Michel Bergere , G. Borot , Bertrand Eynard

2015

Pré-publication, Document de travail cea-01104859v1
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An analysis of the intermediate field theory of T 4 tensor model

Viet Anh Nguyen , Stéphane Dartois , Bertrand Eynard

2014

Pré-publication, Document de travail hal-01093064v1
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A short overview of the "Topological recursion

B Eynard

2014

Pré-publication, Document de travail cea-01093070v2
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Computation of open Gromov-Witten invariants for toric Calabi-Yau 3-folds by topological recursion, a proof of the BKMP conjecture

Bertrand Eynard , Nicolas Orantin

2013

Pré-publication, Document de travail hal-00694552v2
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Topological expansion of the chain of matrices

Bertrand Eynard , Aleix Prats Ferrer

2009

Pré-publication, Document de travail hal-00278204v2
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Universal scaling limits of matrix models, and $(p,q)$ Liouville gravity

Michel Bergere , Bertrand Eynard

2009

Pré-publication, Document de travail hal-00413499v1
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A Matrix model for plane partitions

Bertrand Eynard

2009

Pré-publication, Document de travail hal-00381019v3
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Topological expansion of the Bethe ansatz, and quantum algebraic geometry

Leonid Chekhov , Bertrand Eynard , Olivier Marchal

2009

Pré-publication, Document de travail hal-00863586v1
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Determinantal formulae and loop equations

Michel Bergère , Bertrand Eynard

2009

Pré-publication, Document de travail hal-00354909v2
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All orders asymptotic expansion of large partitions

Bertrand Eynard

2008

Pré-publication, Document de travail hal-00269379v2
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Algebraic methods in random matrices and enumerative geometry

Bertrand Eynard , Nicolas Orantin

2008

Pré-publication, Document de travail hal-00340602v1
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Some properties of angular integrals

Michel Bergère , Bertrand Eynard

2008

Pré-publication, Document de travail hal-00283088v1
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Topological expansion of the Bethe ansatz, and non-commutative algebraic geometry

Bertrand Eynard , Olivier Marchal

2008

Pré-publication, Document de travail hal-00323064v1
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Large N expansion of convergent matrix integrals, holomorphic anomalies, and background independence

Bertrand Eynard

2008

Pré-publication, Document de travail hal-00253730v1
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Invariants of algebraic curves and topological expansion

Bertrand Eynard , Nicolas Orantin

2007

Pré-publication, Document de travail hal-00130963v4
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Recursion between Mumford volumes of moduli spaces

Bertrand Eynard

2007

Pré-publication, Document de travail hal-00158738v1
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Weil-Petersson volume of moduli spaces, Mirzakhani's recursion and matrix models

Bertrand Eynard , Nicolas Orantin

2007

Pré-publication, Document de travail hal-00149179v1
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Holomorphic anomaly and matrix models

Bertrand Eynard , Marcos Marino , Nicolas Orantin

2007

Pré-publication, Document de travail hal-00131013v3
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Topological expansion and boundary conditions

Bertrand Eynard , Nicolas Orantin

2007

Pré-publication, Document de travail hal-00175739v2
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Topological expansion of mixed correlations in the hermitian 2 Matrix Model and x-y symmetry of the F_g invariants.

Bertrand Eynard , Nicolas Orantin

2007

Pré-publication, Document de travail hal-00145022v1
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Formal matrix integrals and combinatorics of maps

Bertrand Eynard

2006

Pré-publication, Document de travail hal-00117235v3
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Free energy topological expansion for the 2-matrix model.

Leonid Chekhov , Bertrand Eynard , Nicolas Orantin

2006

Pré-publication, Document de travail hal-00019891v2

Correlation Functions of Harish-Chandra Integrals over the Orthogonal and the Symplectic Groups

A. Prats Ferrer , B. Eynard , P. Di Francesco , J. -B. Zuber

2006

Pré-publication, Document de travail hal-00108986v1
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Mixed correlation function and spectral curve for the 2-matrix model

Michel Bergere , Bertrand Eynard

2006

Pré-publication, Document de travail hal-00023702v1
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Matrix eigenvalue model: Feynman graph technique for all genera

Leonid Chekhov , Bertrand Eynard

2006

Pré-publication, Document de travail hal-00022361v1
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Loop equations for the semiclassical 2-matrix model with hard edges

Bertrand Eynard

2005

Pré-publication, Document de travail hal-00004618v1
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The 2-matrix model, biorthogonal polynomials, Riemann-Hilbert problem, and algebraic geometry

Bertrand Eynard

2005

Pré-publication, Document de travail hal-00004656v1
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Topological expansion of the 2-matrix model correlation functions: diagrammatic rules for a residue formula

Bertrand Eynard , Nicolas Orantin

2005

Pré-publication, Document de travail hal-00004752v2
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Large N asymptotics of orthogonal polynomials, from integrability to algebraic geometry

Bertrand Eynard

2005

Pré-publication, Document de travail hal-00004536v1
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A short note about Morozov's formula

Bertrand Eynard

2004

Pré-publication, Document de travail hal-00002150v1
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Master loop equations, free energy and correlations for the chain of matrices.

Bertrand Eynard

2003

Pré-publication, Document de travail hal-00000572v2
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Large N expansion of the 2-matrix model, multicut case.

Bertrand Eynard

2003

Pré-publication, Document de travail hal-00000521v1