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Srb Measures For Almost Axiom A Diffeomorphisms | José F. Alves
; Renaud Leplaideur
; | Date: |
20 Jan 2013 | 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. | Source: | arXiv, 1301.4637 | Services: | Forum | Review | PDF | Favorites |
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