arXiv:1301.4637 Abstract | arXiv Analytics

arXiv:1301.4637 [math.DS]Abstract References Reviews Resources

Srb Measures For Almost Axiom A Diffeomorphisms

Published 2013-01-20Version 1

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.

Comments: 25 pages, 2 figures

Categories: math.DS

Keywords: diffeomorphism, probability srb measure, compact f-invariant set, singular set, compact manifold

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