Abstract
In this paper, we study almost sure central limit theorems for the spatial average of the solution to the stochastic wave equation in dimension 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.
Funding Statement
This work was supported by National Natural Science Foundation of China (11771178 and 12171198); the Science and Technology Development Program of Jilin Province (20210101467JC) and Science and Technology Program of Jilin Educational Department during the “13th Five-Year” Plan Period (JJKH20200951KJ) and Fundamental Research Funds for the Central Universities.
Citation
Jingyu Li. Yong Zhang. "Almost sure central limit theorems for stochastic wave equations." Electron. Commun. Probab. 28 1 - 12, 2023. https://doi.org/10.1214/23-ECP517
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