Ablowitz-Ladik晶格和Schur流的大偏差

IF 1.3 3区数学 Q2 STATISTICS & PROBABILITY

Electronic Journal of Probability Pub Date : 2022-01-10 DOI:10.1214/23-EJP941

Guido Mazzuca, Ronan Memin

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引用次数: 4

摘要

我们考虑了Ablowitz-Ladik晶格的广义Gibbs系综和Schur流。我们为这些组合的平衡测度的经验测度的分布导出了大偏差原理。因此，我们推断出它们几乎肯定是收敛的。此外，我们还能够分别用圆系和雅可比系综的平衡测量来描述它们的极限。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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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来源期刊

Electronic Journal of Probability 数学-统计学与概率论

CiteScore

1.80

自引率

7.10%

发文量

119

审稿时长

4-8 weeks

期刊介绍： The Electronic Journal of Probability publishes full-size research articles in probability theory. The Electronic Communications in Probability (ECP), a sister journal of EJP, publishes short notes and research announcements in probability theory. Both ECP and EJP are official journals of the Institute of Mathematical Statistics and the Bernoulli society.