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Large Deviations for Generalized Gibbs Ensembles of the Classical Toda Chain

[HYBRID WORKSHOP] Integrable Structures in Random Matrix Theory and Beyond October 18, 2021 - October 22, 2021

October 18, 2021 (10:20 AM PDT - 11:10 AM PDT)
Speaker(s): Alice Guionnet (École Normale Supérieure de Lyon)
Location: MSRI: Simons Auditorium, Online/Virtual
Tags/Keywords
  • random matrices

  • large deviations

Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Large Deviations For Generalized Gibbs Ensembles Of The Classical Toda Chain

Abstract

Large deviations principles for the distribution of the empirical measure of the equilibrium measure for the Generalized Gibbs ensembles of the classical Toda chain introduced by H. Spohn. We deduce its almost sure convergence and characterize its limit in terms of the limiting measure of Beta-ensembles. Our results apply to general smooth potentials. This is joint work with Ronan Memin.

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Large Deviations For Generalized Gibbs Ensembles Of The Classical Toda Chain

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