Stochastic stability of sectional-Anosov flows
Abstract
A 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 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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