Large deviations for generalized Gibbs ensembles of the classical Toda chain

8 Mar 2021  ·  Alice Guionnet, Ronan Memin ·

We derive 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 in [11]. 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. read more

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Probability