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.
"Spatial ergodicity of stochastic wave equations in dimensions 1, 2 and 3." Electron. Commun. Probab. 25 1 - 11, 2020. https://doi.org/10.1214/20-ECP361