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Article Dans Une Revue Electronic Journal of Probability Année : 2022

LARGE DEVIATIONS FOR GENERALIZED GIBBS ENSEMBLES OF THE CLASSICAL TODA CHAIN

Résumé

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.
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Dates et versions

hal-03133224 , version 1 (05-02-2021)
hal-03133224 , version 2 (08-02-2022)

Identifiants

  • HAL Id : hal-03133224 , version 2

Citer

Alice Guionnet, Ronan Memin. LARGE DEVIATIONS FOR GENERALIZED GIBBS ENSEMBLES OF THE CLASSICAL TODA CHAIN. Electronic Journal of Probability, 2022, 46, pp.29. ⟨hal-03133224v2⟩
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