Stochastic Stability for Flows with Smooth Invariant Measures
Dynamical Systems
2011-12-02 v1
Abstract
We study the notion of stochastic stability with respect to diffusive perturbations for flows with smooth invariant measures. We investigate the question fully for non-singular flows on the circle. We also show that volume-preserving flows are stochastically stable with respect to perturbations that are associated with homogeneous diffusions.
Cite
@article{arxiv.1112.0177,
title = {Stochastic Stability for Flows with Smooth Invariant Measures},
author = {Sergiu Aizicovici and Todd Young},
journal= {arXiv preprint arXiv:1112.0177},
year = {2011}
}