Fumihiko Nakano: Beta ensembles at high temperature

Quand : 16 juin 2026 à 10:30

Où : IHP, 11 rue Pierre et Marie Curie, Paris 5e

Organisé par : Institut Henri Poincaré

Beta ensemble is one of the fundamental object in random matrix theory, describing the Gibbs measure of 1dim $N$ particles under the log potential at inverse temperature $\beta$. High temperature limit refers to consider $\beta \to 0$ limit such that $N \beta = c$. By changing $c$, it is expected to interpolate between the classical ($c=0$) and free ($c=\infty$) probability theory. In this talk, I