Bertrand Eynard

Publications

Article dans une revue (30)

Adult norms for the decision-making MindPulse Digital Test Jennyfer Ansado,Bertrand Eynard,Nastasia Mirofle,Charlotte Mennetrey,Jasmine Banchereauet 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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Universal distribution of random matrix eigenvalues near the &quot;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

Pré-publication, Document de travail (48)

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
Large genus behavior of topological recursion Bertrand Eynard 2019 Pré-publication, Document de travail cea-02126908v1
FROM TOPOLOGICAL RECURSION TO WAVE FUNCTIONS AND PDES QUANTIZING HYPERELLIPTIC CURVES Bertrand Eynard,Elba Garcia-Failde 2019 Pré-publication, Document de travail cea-02400848v1
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
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
Towards U(N|M) knot invariant from ABJM theory Bertrand Eynard,Taro Kimura 2016 Pré-publication, Document de travail cea-01277951v1
Another algebraic variational principle for the spectral curve of matrix models Bertrand Eynard 2016 Pré-publication, Document de travail cea-01277989v1
Random matrices Bertrand Eynard,Taro Kimura,Sylvain Ribault 2016 Pré-publication, Document de travail cea-01252029v1
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
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
A short overview of the &quot;Topological recursion B Eynard 2014 Pré-publication, Document de travail cea-01093070v2
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
Topological expansion of the chain of matrices Bertrand Eynard,Aleix Prats Ferrer 2009 Pré-publication, Document de travail hal-00278204v2
Universal scaling limits of matrix models, and $(p,q)$ Liouville gravity Michel Bergere,Bertrand Eynard 2009 Pré-publication, Document de travail hal-00413499v1
A Matrix model for plane partitions Bertrand Eynard 2009 Pré-publication, Document de travail hal-00381019v3
Determinantal formulae and loop equations Michel Bergère,Bertrand Eynard 2009 Pré-publication, Document de travail hal-00354909v2
Topological expansion of the Bethe ansatz, and quantum algebraic geometry Leonid Chekhov,Bertrand Eynard,Olivier Marchal 2009 Pré-publication, Document de travail hal-00863586v1
All orders asymptotic expansion of large partitions Bertrand Eynard 2008 Pré-publication, Document de travail hal-00269379v2
Some properties of angular integrals Michel Bergère,Bertrand Eynard 2008 Pré-publication, Document de travail hal-00283088v1
Topological expansion of the Bethe ansatz, and non-commutative algebraic geometry Bertrand Eynard,Olivier Marchal 2008 Pré-publication, Document de travail hal-00323064v1
Algebraic methods in random matrices and enumerative geometry Bertrand Eynard,Nicolas Orantin 2008 Pré-publication, Document de travail hal-00340602v1
Large N expansion of convergent matrix integrals, holomorphic anomalies, and background independence Bertrand Eynard 2008 Pré-publication, Document de travail hal-00253730v1
Recursion between Mumford volumes of moduli spaces Bertrand Eynard 2007 Pré-publication, Document de travail hal-00158738v1
Weil-Petersson volume of moduli spaces, Mirzakhani's recursion and matrix models Bertrand Eynard,Nicolas Orantin 2007 Pré-publication, Document de travail hal-00149179v1
Holomorphic anomaly and matrix models Bertrand Eynard,Marcos Marino,Nicolas Orantin 2007 Pré-publication, Document de travail hal-00131013v3
Invariants of algebraic curves and topological expansion Bertrand Eynard,Nicolas Orantin 2007 Pré-publication, Document de travail hal-00130963v4
Topological expansion and boundary conditions Bertrand Eynard,Nicolas Orantin 2007 Pré-publication, Document de travail hal-00175739v2
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
Formal matrix integrals and combinatorics of maps Bertrand Eynard 2006 Pré-publication, Document de travail hal-00117235v3
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
Free energy topological expansion for the 2-matrix model. Leonid Chekhov,Bertrand Eynard,Nicolas Orantin 2006 Pré-publication, Document de travail hal-00019891v2
Matrix eigenvalue model: Feynman graph technique for all genera Leonid Chekhov,Bertrand Eynard 2006 Pré-publication, Document de travail hal-00022361v1
Mixed correlation function and spectral curve for the 2-matrix model Michel Bergere,Bertrand Eynard 2006 Pré-publication, Document de travail hal-00023702v1
Loop equations for the semiclassical 2-matrix model with hard edges Bertrand Eynard 2005 Pré-publication, Document de travail hal-00004618v1
The 2-matrix model, biorthogonal polynomials, Riemann-Hilbert problem, and algebraic geometry Bertrand Eynard 2005 Pré-publication, Document de travail hal-00004656v1
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
Large N asymptotics of orthogonal polynomials, from integrability to algebraic geometry Bertrand Eynard 2005 Pré-publication, Document de travail hal-00004536v1
A short note about Morozov's formula Bertrand Eynard 2004 Pré-publication, Document de travail hal-00002150v1
Master loop equations, free energy and correlations for the chain of matrices. Bertrand Eynard 2003 Pré-publication, Document de travail hal-00000572v2
Large N expansion of the 2-matrix model, multicut case. Bertrand Eynard 2003 Pré-publication, Document de travail hal-00000521v1

Cours (1)

Lectures on compact Riemann surfaces B. Eynard Doctoral. Paris-Saclay, France. 2018 Cours cel-02013559v1