LIMIT MEASURES OF STOCHASTIC SCHRO spacing diaeresis DINGER LATTICE SYSTEMS

被引：25

作者：

Chen, Zhang ^{[1
]}

Wang, Bixiang ^{[2
]}

机构：

[1] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China

[2] New Mexico Inst Min & Technol, Dept Math, Socorro, NM 87801 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2022年 / 150卷 / 04期

关键词：

Stochastic Schrodinger lattice system; nonlinear noise; invariant mea-sure; tail-estimate; limit measure; DYNAMICAL-SYSTEMS; TRAVELING-WAVES; ATTRACTORS;

D O I：

10.1090/proc/15769

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the existence of invariant measures and their limiting behavior of the stochastic Schro center dot dinger lattice systems with respect to noise intensity. We prove the set of all invariant measures of the stochastic systems is weakly compact when the noise intensity varies in a bounded interval. We further show any limit of a sequence of invariant measures of the perturbed systems must be an invariant measure of the limiting system.

引用

页码：1669 / 1684

页数：16

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