Lyapunov exponents and synchronisation by noise for systems of SPDEs
- Authors: B. Gess, P. Tsatsoulis
- Preprint year: 2022
- First public date: 2022-07-20
- arXiv: 2207.09820
- Status: Published
- Publication type: Journal article
- Publication year: 2024
- Journal: The annals of probability, 52 (2024) 5, pp. 1903-1953
- DOI: 10.1214/24-AOP1690
Abstract
Quantitative estimates for the top Lyapunov exponents for systems of stochastic reaction-diffusion equations are proven. The treatment includes reaction potentials with degenerate minima. The proof relies on an asymptotic expansion of the invariant measure, with careful control on the resulting error terms. As a consequence of these estimates, synchronisation by noise is deduced for systems of stochastic reaction-diffusion equations for the first time.
Research areas
BibTeX
@article{arxiv220709820,
title = {Lyapunov exponents and synchronisation by noise for systems of SPDEs},
author = {B. Gess and P. Tsatsoulis},
year = {2024},
journal = {The annals of probability, 52 (2024) 5, pp. 1903-1953},
doi = {10.1214/24-AOP1690},
eprint = {2207.09820},
archivePrefix = {arXiv},
primaryClass = {math.PR}
}