Bertrand Eynard

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19972024

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

33 citations · 68 across the 9 of their papers we have counts for

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math-ph2024

Existence of Boutroux curves, $g$ -functions and spectral networks from Newton's polygon

Bertrand Eynard, Soufiane Oukassi

We prove the existence of an algebraic plane curve of equation $P (x, y) = 0$ , with prescribed asymptotic behaviors at punctures, and with the Boutroux property, namely, periods have v…

math-ph2024

Lecture on the combinatorial algebraic method for computing algebraic integrals

Bertrand Eynard

Consider an algebraic equation $P (x, y) = 0$ where $P \in C [x, y]$ (or $F [x, y]$ with $F \subset C$ a subfield) is a bivariate polynomial, it defines a pl…

math-ph2024

Hirota, Fay and Geometry

Bertrand Eynard, Soufiane Oukassi

This is a review of the relationship between Fay identities and Hirota equations in integrable systems, reformulated in a geometric language compatible with recent Topological Recu…

Existence of Boutroux curves, g-functions and spectral networks from Newton's polygon

Lecture on the combinatorial algebraic method for computing algebraic integrals

Hirota, Fay and Geometry

Existence of Boutroux curves, $g$ -functions and spectral networks from Newton's polygon