Ablowitz-Ladik 格点与 Schur 流的大偏差
Large Deviations for Ablowitz-Ladik lattice, and the Schur flow
AI总结：
本文研究 Ablowitz-Ladik 格点与 Schur 流的广义吉布斯系综，推导经验测度的大偏差原理，并证明其几乎必然收敛，极限由圆与 Jacobi beta 系综的平衡测度刻画。
摘要：
我们考虑 Ablowitz-Ladik 格点的广义吉布斯系综以及 Schur 流。我们推导了这些系综的平衡测度的经验测度分布的大偏差原理。作为推论，我们得到了它们的几乎必然收敛性。此外，我们能够分别用圆系综和 Jacobi beta 系综的平衡测度来刻画它们的极限。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
