33 citations · 68 across the 9 of their papers we have counts for
9 papers
Existence of Boutroux curves, -functions and spectral networks from Newton's polygon
Bertrand Eynard, Soufiane Oukassi
We prove the existence of an algebraic plane curve of equation , with prescribed asymptotic behaviors at punctures, and with the Boutroux property, namely, periods have v…
Lecture on the combinatorial algebraic method for computing algebraic integrals
Bertrand Eynard
Consider an algebraic equation where (or with a subfield) is a bivariate polynomial, it defines a pl…
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…
Counting mobiles by integrable systems
Michel Bergère, Bertrand Eynard, Emmanuel Guitter +1
Mobiles are a particular class of decorated plane trees which serve as codings for planar maps. Here we address the question of enumerating mobiles in their most general flavor, in…
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…
Another algebraic variational principle for the spectral curve of matrix models
B. Eynard
We propose an alternative variational principle whose critical point is the algebraic plane curve associated to a matrix model (the spectral curve, i.e. the large limit of the…