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Stochastic stability of sectional-Anosov flows

Published 7 May 2015 in math.DS | (1505.01761v1)

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 $C2$ transitive sectional-Anosov flow has a unique SRB measure which is stochastically stable under small random perturbations.

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Authors (2)

  1. R. Metzger 
  2. C. A. Morales 

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