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arXiv · 1505.01761

Stochastic stability of sectional-Anosov flows

R. Metzger·C. A. Morales
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Abstract

A {\em sectional-Anosov flow} is a vector field on a compact manifold inwardly transverse to the boundary such that the maximal invariant set is sectional-hyperbolic (in the sense of \cite{mm}). We prove that any $C^2$ transitive sectional-Anosov flow has a unique SRB measure which is stochastically stable under small random perturbations.

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R. Metzger, C. A. Morales. 2015-05-07. Stochastic stability of sectional-Anosov flows. https://arxiv.org/abs/1505.01761

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