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 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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