Srb Measures For Almost Axiom A Diffeomorphisms
Dynamical Systems
2019-02-20 v1
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.
Cite
@article{arxiv.1301.4637,
title = {Srb Measures For Almost Axiom A Diffeomorphisms},
author = {José F. Alves and Renaud Leplaideur},
journal= {arXiv preprint arXiv:1301.4637},
year = {2019}
}
Comments
25 pages, 2 figures