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

@article{Nualart2020SpatialEO,
  title={Spatial ergodicity of stochastic wave equations in dimensions 1,2 and 3},
  author={D. Nualart and Guangqu Zheng},
  journal={arXiv: Probability},
  year={2020}
}
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. 

References

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