4 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…
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…
Recursions and ODEs for the correlators in integrable systems and random matrices
Bertrand Eynard, Dimitrios Mitsios, Soufiane Oukassi
An integrable system is often formulated as a flat connection, satisfying a Lax equation. It is given in terms of compatible systems having a common solution called the ``wave func…