Bertrand Eynard

Documents

Domaines de recherche

Physique mathématique [math-ph]

Publications

	Quantization of classical spectral curves via topological recursion Bertrand Eynard , Elba Garcia-Failde , Olivier Marchal , Nicolas Orantin Communications in Mathematical Physics, 2024 Article dans une revue hal-03254701v2
	Adult norms for the decision-making MindPulse Digital Test Jennyfer Ansado , Bertrand Eynard , Nastasia Mirofle , Charlotte Mennetrey , Jasmine Banchereau Applied Neuropsychology: Adult, In press, ⟨10.1080/23279095.2024.2307413⟩ Article dans une revue hal-04541810v1
	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 Commun.Math.Phys., 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
	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
	Weighted Hurwitz numbers and topological recursion: An overview A. Alexandrov , G. Chapuy , B. Eynard , J. Harnad J.Math.Phys., 2018, 59 (8), pp.081102. ⟨10.1063/1.5013201⟩ Article dans une revue hal-01880881v1
	Fermionic approach to weighted Hurwitz numbers and topological recursion A. Alexandrov , G. Chapuy , B. Eynard , J. Harnad Commun.Math.Phys., 2018, 360 (2), pp.777-826. ⟨10.1007/s00220-017-3065-9⟩ Article dans une revue hal-01797838v1
	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
	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
	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
	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
	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
	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
	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, 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 "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
	Generalized cycles on Spectral Curves B Eynard 2023 Pré-publication, Document de travail hal-04344206v1
	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
	Resurgent Asymptotics of Jackiw-Teitelboim Gravity and the Nonperturbative Topological Recursion Bertrand Eynard , Elba Garcia-Failde , Paolo Gregori , Danilo Lewanski , Ricardo Schiappa 2023 Pré-publication, Document de travail hal-04121898v1
	A natural basis for intersection numbers Bertrand Eynard , Danilo Lewański , Adrien Ooms 2021 Pré-publication, Document de travail hal-03321189v1
	Topological recursion for generalised Kontsevich graphs and r-spin intersection numbers Raphaël Belliard , Séverin Charbonnier , Bertrand Eynard , Elba Garcia-Failde 2021 Pré-publication, Document de travail hal-03244160v1
	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 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
	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 hal-02154180v1
	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
	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
	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
	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
	Another algebraic variational principle for the spectral curve of matrix models Bertrand Eynard 2016 Pré-publication, Document de travail cea-01277989v1
	Towards U(N\|M) knot invariant from ABJM theory Bertrand Eynard , Taro Kimura 2016 Pré-publication, Document de travail cea-01277951v1
	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 "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
	Topological expansion of the Bethe ansatz, and quantum algebraic geometry Leonid Chekhov , Bertrand Eynard , Olivier Marchal 2009 Pré-publication, Document de travail hal-00863586v1
	Determinantal formulae and loop equations Michel Bergère , Bertrand Eynard 2009 Pré-publication, Document de travail hal-00354909v2
	A Matrix model for plane partitions Bertrand Eynard 2009 Pré-publication, Document de travail hal-00381019v3
	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
	All orders asymptotic expansion of large partitions Bertrand Eynard 2008 Pré-publication, Document de travail hal-00269379v2
	Large N expansion of convergent matrix integrals, holomorphic anomalies, and background independence Bertrand Eynard 2008 Pré-publication, Document de travail hal-00253730v1
	Algebraic methods in random matrices and enumerative geometry Bertrand Eynard , Nicolas Orantin 2008 Pré-publication, Document de travail hal-00340602v1
	Recursion between Mumford volumes of moduli spaces Bertrand Eynard 2007 Pré-publication, Document de travail hal-00158738v1
	Holomorphic anomaly and matrix models Bertrand Eynard , Marcos Marino , Nicolas Orantin 2007 Pré-publication, Document de travail hal-00131013v3
	Weil-Petersson volume of moduli spaces, Mirzakhani's recursion and matrix models Bertrand Eynard , Nicolas Orantin 2007 Pré-publication, Document de travail hal-00149179v1
	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
	Invariants of algebraic curves and topological expansion Bertrand Eynard , Nicolas Orantin 2007 Pré-publication, Document de travail hal-00130963v4
	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
	Mixed correlation function and spectral curve for the 2-matrix model Michel Bergere , Bertrand Eynard 2006 Pré-publication, Document de travail hal-00023702v1
	Matrix eigenvalue model: Feynman graph technique for all genera Leonid Chekhov , Bertrand Eynard 2006 Pré-publication, Document de travail hal-00022361v1
	Formal matrix integrals and combinatorics of maps Bertrand Eynard 2006 Pré-publication, Document de travail hal-00117235v3
	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
	The 2-matrix model, biorthogonal polynomials, Riemann-Hilbert problem, and algebraic geometry Bertrand Eynard 2005 Pré-publication, Document de travail hal-00004656v1
	Loop equations for the semiclassical 2-matrix model with hard edges Bertrand Eynard 2005 Pré-publication, Document de travail hal-00004618v1
	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

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

Bertrand Eynard

Domaines de recherche

Publications

Quantization of classical spectral curves via topological recursion

Adult norms for the decision-making MindPulse Digital Test

Combinatorial expression of the fundamental second kind differential on an algebraic curve

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

Weighted Hurwitz numbers and topological recursion

Large Strebel Graphs and (3,2) Liouville CFT

The geometry of Casimir W-algebras

Weighted Hurwitz numbers and topological recursion: An overview

Fermionic approach to weighted Hurwitz numbers and topological recursion

Root systems, spectral curves, and analysis of a Chern-Simons matrix model for Seifert fibered spaces

Integrable Differential Systems of Topological Type and Reconstruction by the Topological Recursion

Loop equations from differential systems

An analysis of the intermediate field theory of $T^4$ tensor model

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

The sinelaw gap probability, Painlevé 5, and asymptotic expansion by the topological recursion

Lax matrix solution of c = 1 conformal field theory

A Matrix Model for the Topological String I: Deriving the Matrix Model

Planar maps, circle patterns and 2d gravity

A matrix model for the topological string II: The spectral curve and mirror geometry

Seiberg-Witten equations and non-commutative spectral curves in Liouville theory

Loop equations and topological recursion for the arbitrary β two-matrix model

Loop equations and topological recursion for the arbitrary-β two-matrix model

Topological expansion of the β-ensemble model and quantum algebraic geometry in the sectorwise approach

Large deviations of the maximal eigenvalue of random matrices

Topological expansion of the Bethe ansatz, and non-commutative algebraic geometry

Universal distribution of random matrix eigenvalues near the "birth of a cut'' transition.

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

Counting mobiles by integrable systems

Generalized cycles on Spectral Curves

Resurgent large genus asymptotics of intersection numbers

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

A natural basis for intersection numbers

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

Topological Recursion, Airy structures in the space of cycles

Solutions of loop equations are random matrices

Large genus behavior of topological recursion

FROM TOPOLOGICAL RECURSION TO WAVE FUNCTIONS AND PDES QUANTIZING HYPERELLIPTIC CURVES

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

Large genus behavior of topological recursion

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

Integrability of W( sl d )-symmetric Toda conformal field theories I : Quantum geometry

Local properties of the random Delaunay triangulation model and topological 2D gravity

Random matrices

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

Another algebraic variational principle for the spectral curve of matrix models

Towards U(N|M) knot invariant from ABJM theory

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

An analysis of the intermediate field theory of T 4 tensor model

A short overview of the "Topological recursion"

Computation of open Gromov-Witten invariants for toric Calabi-Yau 3-folds by topological recursion, a proof of the BKMP conjecture

Topological expansion of the chain of matrices

Universal scaling limits of matrix models, and $(p,q)$ Liouville gravity

Topological expansion of the Bethe ansatz, and quantum algebraic geometry

Determinantal formulae and loop equations

A Matrix model for plane partitions

Some properties of angular integrals

Topological expansion of the Bethe ansatz, and non-commutative algebraic geometry

All orders asymptotic expansion of large partitions

Large N expansion of convergent matrix integrals, holomorphic anomalies, and background independence

Algebraic methods in random matrices and enumerative geometry

Recursion between Mumford volumes of moduli spaces

Holomorphic anomaly and matrix models

Weil-Petersson volume of moduli spaces, Mirzakhani's recursion and matrix models

Topological expansion and boundary conditions

Topological expansion of mixed correlations in the hermitian 2 Matrix Model and x-y symmetry of the F_g invariants.

Invariants of algebraic curves and topological expansion

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

Free energy topological expansion for the 2-matrix model.

Mixed correlation function and spectral curve for the 2-matrix model

Matrix eigenvalue model: Feynman graph technique for all genera

Formal matrix integrals and combinatorics of maps

Topological expansion of the 2-matrix model correlation functions: diagrammatic rules for a residue formula

Large N asymptotics of orthogonal polynomials, from integrability to algebraic geometry

The 2-matrix model, biorthogonal polynomials, Riemann-Hilbert problem, and algebraic geometry

Loop equations for the semiclassical 2-matrix model with hard edges

A short note about Morozov's formula

Master loop equations, free energy and correlations for the chain of matrices.