Bertrand Eynard

collaborators

3 papers

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

Generalized cycles on Spectral Curves

B. Eynard

Generalized cycles can be thought of as the extension of form-cycle duality between holomorphic forms and cycles, to meromorphic forms and generalized cycles. They appeared as an u…

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

Lecture on the combinatorial algebraic method for computing algebraic integrals

Generalized cycles on Spectral Curves

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