Central Limit Theorems and Moderate Deviations for Stochastic Reaction-Diffusion Lattice Systems

被引：0

作者：

Chen, Zhang ^{[1
]}

Sun, Xiaoxiao ^{[1
]}

Yang, Dandan ^{[2
]}

机构：

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

[2] Tianjin Normal Univ, Sch Math Sci, Tianjin 300387, Peoples R China

来源：

JOURNAL OF STATISTICAL PHYSICS | 2024年 / 191卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Stochastic lattice system; Local Lipschitzian; Central limit theorem; Moderate deviation principle; Weak convergence method; MULTIPLICATIVE NOISE; DYNAMICAL-SYSTEMS; TRAVELING-WAVES; ATTRACTORS; EQUATIONS; PROPAGATION; BEHAVIOR; CHAOS; MODEL;

D O I：

10.1007/s10955-023-03229-w

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper is concerned with the stochastic reaction-diffusion lattice systems defined on the entire set with both locally Lipschitz nonlinear drift and diffusion terms. The central limit theorem is derived for such infinite-dimensional stochastic systems. Moreover, the moderate deviation principle of solution processes is also established by the weak convergence method based on the variational representation of positive functionals of Brownian motion. The method relies on proving the convergence of the solutions of the controlled stochastic lattice systems.

引用

页数：28

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