Conférence - Problèmes multi échelles en physique mathématique

Mercredi, 16 Juin, 2021 - 09:00 - 09:55
Mattia Cafasso
University of Angers
Higher order Tracy-Widom distributions and applications
Résumé: 

After a brief introduction to the original Tracy-Widom distribution and its applications, I will describe some generalisations ("higher order Tracy--Widom distributions") recently introduced in the physical and mathematical literature, and give an expression of them in terms of solutions of certain equations of Painlevé type. Time permitting, I will explain how the theory of integrable ODEs allows us to study the large deviations of these distributions.

Partenaires

Irmar LMJL ENS Rennes LMBA LAREMA

Tutelles

ANR CNRS Rennes 1 Rennes 2 Nantes INSA Rennes INRIA ENSRennes UBO UBS Angers UBL