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arXiv · 1112.0177

Stochastic Stability for Flows with Smooth Invariant Measures

Sergiu Aizicovici·Todd Young
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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.

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Sergiu Aizicovici, Todd Young. 2011-12-01. Stochastic Stability for Flows with Smooth Invariant Measures. https://arxiv.org/abs/1112.0177

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