Large Deviations for Ablowitz-Ladik lattice, and the Schur flow
Probability
2023-06-22 v1 Statistical Mechanics
Mathematical Physics
math.MP
Spectral Theory
Abstract
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.
Keywords
Cite
@article{arxiv.2201.03429,
title = {Large Deviations for Ablowitz-Ladik lattice, and the Schur flow},
author = {Guido Mazzuca and Ronan Memin},
journal= {arXiv preprint arXiv:2201.03429},
year = {2023}
}
Comments
28 pages