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• W3102398949 abstract "This paper studies beta ensembles on the real line in a high temperature regime, that is, the regime where $$beta N rightarrow const in (0, infty )$$, with N the system size and $$beta $$ the inverse temperature. For the global behavior, the convergence to the equilibrium measure is a consequence of a recent result on large deviation principle. This paper focuses on the local behavior and shows that the local statistics around any fixed reference energy converges weakly to a homogeneous Poisson point process." @default.
• W3102398949 created "2020-11-23" @default.
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• W3102398949 date "2020-04-01" @default.
• W3102398949 modified "2023-10-14" @default.
• W3102398949 title "Poisson Statistics for Beta Ensembles on the Real Line at High Temperature" @default.
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• W3102398949 doi "https://doi.org/10.1007/s10955-020-02542-y" @default.
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