Bertrand Eynard

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All published works

Action	Title	Year	Authors
+ PDF Chat	The factorial growth of topological recursion	2024	Gaëtan Borot Bertrand Eynard Alessandro Giacchetto
+	Quantization of Classical Spectral Curves via Topological Recursion	2024	Bertrand Eynard Elba Garcia‐Failde Olivier Marchal Nicolas Orantin
+ PDF Chat	Resurgent Asymptotics of Jackiw–Teitelboim Gravity and the Nonperturbative Topological Recursion	2024	Bertrand Eynard Elba Garcia‐Failde Paolo Gregori Danilo Lewański Ricardo Schiappa
+	Counting mobiles by integrable systems	2023	M. C. Bergère Bertrand Eynard Emmanuel Guitter Soufiane Oukassi
+	A natural basis for intersection numbers	2021	Bertrand Eynard Danilo Lewański Adrien Ooms
+	Topological recursion for generalised Kontsevich graphs and r-spin intersection numbers	2021	Raphaël Belliard Séverin Charbonnier Bertrand Eynard Elba Garcia‐Failde
+	Quantization of classical spectral curves via topological recursion	2021	Bertrand Eynard Elba Garcia‐Failde Olivier Marchal Nicolas Orantin
+	Topological recursion for generalised Kontsevich graphs and r-spin intersection numbers	2021	Raphaël Belliard Séverin Charbonnier Bertrand Eynard Elba Garcia‐Failde
+	Large genus behavior of topological recursion	2019	Bertrand Eynard
+	From topological recursion to wave functions and PDEs quantizing hyperelliptic curves	2019	Bertrand Eynard Elba Garcia‐Failde
+ PDF Chat	The geometry of Casimir W-algebras	2018	Raphaël Belliard Bertrand Eynard Sylvain Ribault
+ PDF Chat	Report on 1707.05120v4	2018	Raphaël Belliard Bertrand Eynard Sylvain Ribault
+ PDF Chat	Report on 1707.05120v3	2018	Raphaël Belliard Bertrand Eynard Sylvain Ribault
+ PDF Chat	Large Strebel Graphs and (3,2) Liouville CFT	2018	Séverin Charbonnier Bertrand Eynard François David
+	Lectures notes on compact Riemann surfaces	2018	Bertrand Eynard
+	Integrability of $\mathcal W({\mathfrak{sl}_d})$-symmetric Toda conformal field theories I : Quantum geometry	2018	Raphaël Belliard Bertrand Eynard
+	Loop Equations from Differential Systems on Curves	2017	Raphaël Belliard Bertrand Eynard Olivier Marchal
+ PDF Chat	Integrable Differential Systems of Topological Type and Reconstruction by the Topological Recursion	2017	Raphaël Belliard Bertrand Eynard Olivier Marchal
+ PDF Chat	Toward $$\mathrm {U}(N\|M)$$ U ( N \| M ) knot invariant from ABJM theory	2017	Bertrand Eynard Taro Kimura
+	The Geometry of integrable systems. Tau functions and homology of Spectral curves. Perturbative definition	2017	Bertrand Eynard
+ PDF Chat	Root systems, spectral curves, and analysis of a Chern-Simons matrix model for Seifert fibered spaces	2016	Gaëtan Borot Bertrand Eynard Alexander Weiße
+	Counting Surfaces: CRM Aisenstadt Chair lectures	2016	Bertrand Eynard
+	Counting Riemann Surfaces	2016	Bertrand Eynard
+	Counting Large Maps	2016	Bertrand Eynard
+	Random matrices	2015	Bertrand Eynard Taro Kimura Sylvain Ribault
+ PDF Chat	Rational Differential Systems, Loop Equations, and Application to the qth Reductions of KP	2015	M. C. Bergère Gaëtan Borot Bertrand Eynard
+ PDF Chat	Abstract loop equations, topological recursion and new applications	2015	Gaëtan Borot Bertrand Eynard Nicolas Orantin
+	Random matrices	2015	Bertrand Eynard Taro Kimura Sylvain Ribault
+ PDF Chat	Lax matrix solution of c = 1 conformal field theory	2014	Bertrand Eynard Sylvain Ribault
+	The sine-law gap probability, Painlev\'e 5, and asymptotic expansion by the topological recursion	2013	Olivier Marchal Bertrand Eynard M. C. Bergère
+	Planar maps, circle patterns and 2d gravity	2013	François David Bertrand Eynard
+	Abstract loop equations, topological recursion, and applications	2013	Gaëtan Borot Bertrand Eynard Nicolas Orantin
+	The sine-law gap probability, Painlevé 5, and asymptotic expansion by the topological recursion	2013	Olivier Marchal Bertrand Eynard M. C. Bergère
+	Planar maps, circle patterns and 2d gravity	2013	François David Bertrand Eynard
+ PDF Chat	A Matrix Model for the Topological String II: The Spectral Curve and Mirror Geometry	2012	Bertrand Eynard Amir-Kian Kashani-Poor Olivier Marchal
+	All-order asymptotics of hyperbolic knot invariants from non-perturbative topological recursion of A-polynomials	2012	Gaëtan Borot Bertrand Eynard
+ PDF Chat	Loop equations and topological recursion for the arbitrary-β two-matrix model	2012	M. C. Bergère Bertrand Eynard Olivier Marchal Aleix Prats Ferrer
+ PDF Chat	Recursion Between Mumford Volumes of Moduli Spaces	2011	Bertrand Eynard
+ PDF Chat	A holomorphic and background independent partition function for matrix models and topological strings	2010	Bertrand Eynard Marcos Mariño
+ PDF Chat	Supermatrix models, loop equations, and duality	2010	Patrick Desrosiers Bertrand Eynard
+	Tracy-Widom GUE law and symplectic invariants	2010	Gaëtan Borot Bertrand Eynard
+	Topological recursion in enumerative geometry and random matrices	2009	Bertrand Eynard Nicolas Orantin
+ PDF Chat	A Matrix model for plane partitions	2009	Bertrand Eynard
+ PDF Chat	Some properties of angular integrals	2009	M. C. Bergère Bertrand Eynard
+ PDF Chat	Determinantal formulae and loop equations	2009	M. C. Bergère Bertrand Eynard
+	Universal scaling limits of matrix models, and (p,q) Liouville gravity	2009	M. C. Bergère Bertrand Eynard
+	Topological expansion of the Bethe ansatz, and quantum algebraic geometry	2009	Leonid Chekhov Bertrand Eynard Olivier Marchal
+	Geometrical interpretation of the topological recursion, and integrable string theories	2009	Bertrand Eynard Nicolas Orantin
+	The Laplace transform of the cut-and-join equation and the Bouchard-Marino conjecture on Hurwitz numbers	2009	Bertrand Eynard Motohico Mulase Brad Safnuk
+ PDF Chat	Some properties of angular integrals	2008	M. C. Bergère Bertrand Eynard
+	Algebraic methods in random matrices and enumerative geometry	2008	Bertrand Eynard Nicolas Orantin
+ PDF Chat	Holomorphic anomaly and matrix models	2007	Bertrand Eynard Marcos Mariño Nicolas Orantin
+ PDF Chat	Holomorphic anomaly and matrix models	2007	Bertrand Eynard Nicolas Orantin Marcos Mariño
+ PDF Chat	Free energy topological expansion for the 2-matrix model	2006	Leonid Chekhov Bertrand Eynard Nicolas Orantin
+ PDF Chat	Mixed correlation function and spectral curve for the 2-matrix model	2006	M. C. Bergère Bertrand Eynard
+ PDF Chat	Free energy topological expansion for the 2-matrix model.	2006	Leonid Chekhov Bertrand Eynard Nicolas Orantin
+ PDF Chat	The PDEs of Biorthogonal Polynomials Arising in the Two-Matrix Model	2006	Marco Bertola Bertrand Eynard
+ PDF Chat	Mixed correlation functions in the 2-matrix model, and the Bethe Ansatz	2005	Bertrand Eynard Nicolas Orantin
+ PDF Chat	Large N asymptotics of orthogonal polynomials, from integrability to algebraic geometry	2005	Bertrand Eynard
+	A short note about Morozov's formula	2004	Bertrand Eynard
+ PDF Chat	Master loop equations, free energy and correlations for the chain of matrices	2003	Bertrand Eynard
+ PDF Chat	Master loop equations, free energy and correlations for the chain of matrices.	2003	Bertrand Eynard
+	Large N expansion of the 2-matrix model, multicut case	2003	Bertrand Eynard
+	A concise expression for the ODE's of orthogonal polynomials	2001	Bertrand Eynard

Common Coauthors

Coauthor	Papers Together
Nicolas Orantin	12
M. C. Bergère	10
Olivier Marchal	9
Raphaël Belliard	8
Gaëtan Borot	7
Sylvain Ribault	6
Elba Garcia‐Failde	6
Taro Kimura	3
Marcos Mariño	3
Séverin Charbonnier	3
Leonid Chekhov	3
François David	3
Danilo Lewański	2
Amir-Kian Kashani-Poor	1
Emmanuel Guitter	1
Alessandro Giacchetto	1
Soufiane Oukassi	1
Adrien Ooms	1
Ricardo Schiappa	1
Aleix Prats Ferrer	1
Marco Bertola	1
Alexander Weiße	1
Paolo Gregori	1
Motohico Mulase	1
Patrick Desrosiers	1
Brad Safnuk	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Invariants of algebraic curves and topological expansion	2007	Benoît Eynard Nicolas Orantin	27
+ PDF Chat	2D gravity and random matrices	1995	Philippe Di Francesco Paul Ginsparg Jean Zinn‐Justin	22
+ PDF Chat	Topological expansion for the 1-hermitian matrix model correlation functions.	2004	Bertrand Eynard	18
+ PDF Chat	Free energy topological expansion for the 2-matrix model	2006	Leonid Chekhov Bertrand Eynard Nicolas Orantin	16
+ PDF Chat	Theta Functions on Riemann Surfaces	1973	John D. Fay	16
+ PDF Chat	Large N expansion of convergent matrix integrals, holomorphic anomalies, and background independence	2009	Bertrand Eynard	15
+ PDF Chat	All genus correlation functions for the hermitian 1-matrix model	2004	Bertrand Eynard	14
+ PDF Chat	Intersection theory on the moduli space of curves and the matrix airy function	1992	Maxim Kontsevich	13
+	Introduction to Classical Integrable Systems	2003	O. Babelon Denis Bernard Michel Talon	12
+	Ising model on a dynamical planar random lattice: Exact solution	1986	Vladimir Kazakov	12
+	Determinantal formulae and loop equations	2009	M. C. Bergère Bertrand Eynard	12
+ PDF Chat	Matrix model calculations beyond the spherical limit	1993	J. Ambjørn Leonid Chekhov Charlotte Kristjansen Yu.M. Makeenko	12
+ PDF Chat	Two-dimensional gravity and intersection theory on moduli space	1990	Edward Witten	11
+ PDF Chat	Remodeling the B-Model	2008	Vincent Bouchard Albrecht Klemm Marcos Mariño Sara Pasquetti	11
+	Topological expansion of the chain of matrices	2009	Bertrand Eynard A. Prats Ferrer	9
+ PDF Chat	Master loop equations, free energy and correlations for the chain of matrices	2003	Bertrand Eynard	9
+	Topological expansion of mixed correlations in the hermitian 2 Matrix Model and x-y symmetry of the F_g invariants	2007	Bertrand Eynard Nicolas Orantin	9
+ PDF Chat	Breakdown of universality in multi-cut matrix models	2000	Gabrielle Bonnet François David Benoît Eynard	9
+	Monodromy preserving deformation of linear ordinary differential equations with rational coefficients	1981	Michio Jimbo Tetsuji Miwa Kimio Ueno	9
+ PDF Chat	Open string amplitudes and large order behavior in topological string theory	2008	Marcos Mariño	8
+ PDF Chat	A holomorphic and background independent partition function for matrix models and topological strings	2010	Bertrand Eynard Marcos Mariño	8
+ PDF Chat	Hermitian matrix model free energy: Feynman graph technique for all genera	2006	Leonid Chekhov Bertrand Eynard	8
+ PDF Chat	Holomorphic anomaly and matrix models	2007	Bertrand Eynard Nicolas Orantin Marcos Mariño	8
+ PDF Chat	Matrix models, topological strings, and supersymmetric gauge theories	2002	Robbert Dijkgraaf Cumrun Vafa	8
+ PDF Chat	Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes	1994	M. Bershadsky Sergio Cecotti Hirosi Ooguri Cumrun Vafa	7
+ PDF Chat	Think globally, compute locally	2013	Vincent Bouchard Bertrand Eynard	7
+ PDF Chat	Complex curve of the two-matrix model and its tau-function	2003	Vladimir Kazakov A. Marshakov	7
+ PDF Chat	Large<i>N</i>expansion of the 2-matrix model	2003	Bertrand Eynard	7
+ PDF Chat	On geometry and matrix models	2002	Robbert Dijkgraaf Cumrun Vafa	7
+ PDF Chat	Combinatorial solution of the two-matrix model	1993	Matthias Staudacher	7
+ PDF Chat	Seiberg-Witten Prepotential from Instanton Counting	2003	Nikita Nekrasov	7
+ PDF Chat	Recursion Between Mumford Volumes of Moduli Spaces	2011	Bertrand Eynard	7
+ PDF Chat	Matrix eigenvalue model: Feynman graph technique for all genera	2006	Leonid Chekhov Bertrand Eynard	7
+	Planar diagrams	1978	E. Brézin C. Itzykson Giorgio Parisi Jean-Bernard Zuber	7
+ PDF Chat	Topological Strings and (Almost) Modular Forms	2007	Mina Aganagic Vincent Bouchard Albrecht Klemm	7
+	Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory	1999	Percy Deift T. Kriecherbauer K. T-R McLaughlin Stephanos Venakides Xin Zhou	7
+	The τ‐function of the universal whitham hierarchy, matrix models and topological field theories	1994	I. M. Krichever	7
+ PDF Chat	Rational Differential Systems, Loop Equations, and Application to the qth Reductions of KP	2015	M. C. Bergère Gaëtan Borot Bertrand Eynard	7
+ PDF Chat	Geometry of Spectral Curves and All Order Dispersive Integrable System	2012	Gaëtan Borot Bertrand Eynard	7
+	Monodromy perserving deformation of linear ordinary differential equations with rational coefficients. II	1981	Michio Jimbo Tetsuji Miwa	7
+	Formal Matrix Integrals and Combinatorics of Maps	2011	Benoît Eynard	6
+	A matrix model for simple Hurwitz numbers, and topological recursion	2010	Gaëtan Borot Bertrand Eynard Motohico Mulase Brad Safnuk	6
+ PDF Chat	The Topological Vertex	2004	Mina Aganagic Albrecht Klemm Marcos Mari�o Cumrun Vafa	6
+ PDF Chat	All order asymptotic expansion of large partitions	2008	Benoît Eynard	6
+ PDF Chat	Reconstructing WKB from topological recursion	2017	Vincent Bouchard Bertrand Eynard	6
+	Loop equations and 1N expansion	1983	Alexander Migdal	6
+ PDF Chat	Torus Knots and Mirror Symmetry	2012	Andrea Brini Marcos Mariño Bertrand Eynard	6
+ PDF Chat	Rational theories of 2d gravity from the two-matrix model	1993	Jean-Marc Daul Vladimir Kazakov Ivan Kostov	6
+ PDF Chat	Orthogonal Polynomials	1971		6
+	Random Matrix Models and Their Applications	2001	Pavel Bleher Alexander Its	6