## Electronic Communications in Probability

### 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.

#### Article information

Source
Electron. Commun. Probab., Volume 25 (2020), paper no. 80, 11 pp.

Dates
Accepted: 6 November 2020
First available in Project Euclid: 9 December 2020

https://projecteuclid.org/euclid.ecp/1607504414

Digital Object Identifier
doi:10.1214/20-ECP361

Mathematical Reviews number (MathSciNet)
MR4187721

#### Citation

Nualart, David; Zheng, Guangqu. Spatial ergodicity of stochastic wave equations in dimensions 1, 2 and 3. Electron. Commun. Probab. 25 (2020), paper no. 80, 11 pp. doi:10.1214/20-ECP361. https://projecteuclid.org/euclid.ecp/1607504414

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