Srb Measures For Almost Axiom A Diffeomorphisms

摘要

We consider a diffeomorphism f of a compact manifold M which is Almost AxiomA, 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 existssome f-invariant set of hyperbolic points with positive unstable-Lebesguemeasure such that for every point in this set the stable and unstable leavesare "long enough", then f admits a probability SRB measure.