Synchronization by noise for order-preserving random dynamical systems
Probability
2016-01-05 v2 Analysis of PDEs
Dynamical Systems
Abstract
We provide sufficient conditions for weak synchronization by noise for order-preserving random dynamical systems on Polish spaces. That is, under these conditions we prove the existence of a weak point attractor consisting of a single random point. This generalizes previous results in two directions: First, we do not restrict to Banach spaces and second, we do not require the partial order to be admissible nor normal. As a second main result and application we prove weak synchronization by noise for stochastic porous media equations with additive noise.
Cite
@article{arxiv.1503.08737,
title = {Synchronization by noise for order-preserving random dynamical systems},
author = {Franco Flandoli and Benjamin Gess and Michael Scheutzow},
journal= {arXiv preprint arXiv:1503.08737},
year = {2016}
}
Comments
25 pages