33 citations · 68 across the 9 of their papers we have counts for
6 papers · 1 filter
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…
Correlation Functions of Harish-Chandra Integrals over the Orthogonal and the Symplectic Groups
A. Prats Ferrer, B. Eynard, P. Di Francesco +1
The Harish-Chandra correlation functions, i.e. integrals over compact groups of invariant monomials prod tr{X^{p_1} Omega Y^{q_1} Omega^dagger X^{p_2} ... with the weight exp tr{X…