Large Deviations for Generalized Gibbs Ensembles of the Classical Toda Chain

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.

Article discussed: https://arxiv.org/abs/2103.04858

Please report video problems to itsupport@slmath.org.

See more of our Streaming videos on our main VMath Videos page.