Poisson statistics for matrix ensembles at large temperature

Florent Benaych-Georges, Sandrine Péché

In this article, we consider $\beta$-ensembles, i.e. collections of particles with random positions on the real line having joint distribution $$\frac{1}{Z_N(β)}|Δ(λ)|^βe^{- \frac{Nβ}{…