Almost sure central limit theorems for stochastic wave equations

被引：2

作者：

Li, Jingyu ^{[1
]}

Zhang, Yong ^{[1
]}

机构：

[1] Jilin Univ, Changchun, Peoples R China

来源：

ELECTRONIC COMMUNICATIONS IN PROBABILITY | 2023年 / 28卷

基金：

中国国家自然科学基金;

关键词：

almost sure central limit theorem; stochastic wave equation; Malliavin calculus; Poincar?-type inequality; UNIVERSAL RESULT; PARTIAL-SUMS; PRODUCTS;

D O I：

10.1214/23-ECP517

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this paper, we study almost sure central limit theorems for the spatial average of the solution to the stochastic wave equation in dimension d <= 2 over a Euclidean ball, as the radius of the ball diverges to infinity.This equation is driven by a general Gaussian multiplicative noise, which is temporally white and colored in space including the cases of the spatial covariance given by a fractional noise, a Riesz kernel, and an integrable function that satisfies Dalang's condition.

引用

页数：1

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