论文标题
Ablowitz-Ladik晶格的大偏差和Schur流动
Large Deviations for Ablowitz-Ladik lattice, and the Schur flow
论文作者
论文摘要
我们考虑了Ablowitz-Ladik晶格的广义Gibbs合奏和Schur流。我们得出了较大的偏差原则，用于分布这些集团的平衡度量的经验度量。结果，我们推断出他们几乎确定的融合。此外，我们能够根据圆形和雅各比β集合的平衡度量来表征它们的极限。
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.
