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Pré-Publication, Document De Travail Année : 2022

Large Deviations for Ablowitz-Ladik lattice, and the Schur flow

Résumé

We consider the Generalized Gibbs ensemble of the Ablowitz-Ladik lattice, and the Schur flow. We derive large deviations principles for the distribution of the empirical measures of the equilibrium measures for these ensembles. As a consequence, we deduce their almost sure convergence. Moreover, we are able to characterize their limit in terms of the equilibrium measure of the Circular, and the Jacobi beta ensemble respectively.
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Dates et versions

hal-03952666 , version 1 (23-01-2023)

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Guido Mazzuca, Ronan Memin. Large Deviations for Ablowitz-Ladik lattice, and the Schur flow. 2023. ⟨hal-03952666⟩
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