Ergodicity and random dynamical systems for conservative SPDEs
Probability
2022-06-30 v1 Analysis of PDEs
Dynamical Systems
Abstract
The dynamics of the solutions to a class of conservative SPDEs are analysed from two perspectives: Firstly, a probabilistic construction of a corresponding random dynamical system is given for the first time. Secondly, the existence and uniqueness of invariant measures, as well as mixing for the associated Markov process is shown.
Cite
@article{arxiv.2206.14789,
title = {Ergodicity and random dynamical systems for conservative SPDEs},
author = {Benjamin Fehrman and Benjamin Gess and Rishabh S. Gvalani},
journal= {arXiv preprint arXiv:2206.14789},
year = {2022}
}
Comments
66 pages