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.
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