Spatial ergodicity of stochastic wave equations in dimensions 1,2 and 3

Abstract

In this note, we study a large class of stochastic wave equations with spatial dimension less than or equal to $3$. Via a soft application of Malliavin calculus, we establish that their random field solutions are spatially ergodic.

10 pages

References in corpus (1)

• Averaging Gaussian functionals

Cited by in corpus (4)

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• Almost sure central limit theorems for parabolic/hyperbolic Anderson models with Gaussian colored noises