2 papers
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
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…