Poisson statistics for beta ensembles on the real line at high temperature

16 Apr 2020 Nakano Fumihiko Trinh Khanh Duy

This paper studies beta ensembles on the real line in a high temperature regime, that is, the regime where $\beta N \to const \in (0, \infty)$, with $N$ the system size and $\beta$ the inverse temperature. In this regime, the convergence to the equilibrium measure is a consequence of a recent result on large deviation principle by Liu and Wu (Stochastic Processes and their Applications (2019))... (read more)

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