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arXiv · 1301.4637

Srb Measures For Almost Axiom A Diffeomorphisms

José F. Alves·Renaud Leplaideur
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Abstract

We consider a diffeomorphism f of a compact manifold M which is Almost Axiom A, i.e. f is hyperbolic in a neighborhood of some compact f-invariant set, except in some singular set of neutral points. We prove that if there exists some f-invariant set of hyperbolic points with positive unstable-Lebesgue measure such that for every point in this set the stable and unstable leaves are "long enough", then f admits a probability SRB measure.

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José F. Alves, Renaud Leplaideur. 2013-01-20. Srb Measures For Almost Axiom A Diffeomorphisms. https://doi.org/10.1017/etds.2015.4

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