Notes on eventual continuity and ergodicity for SPDEs
Probability
2025-03-13 v1
Abstract
These notes present an alternative approach to the asymptotic stability of stochastic partial differential equations driven by multiplicative noise, applicable to a wide range of dissipative systems. The method builds on general criteria established in \cite{GLLL2024b,L2023}, utilizing the eventual continuity and generalized coupling techniques.
Cite
@article{arxiv.2503.09285,
title = {Notes on eventual continuity and ergodicity for SPDEs},
author = {Ziyu Liu},
journal= {arXiv preprint arXiv:2503.09285},
year = {2025}
}