Showing math-phShow all
3 papers · 1 filter
math-ph2024
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…
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…
math-ph2023
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…