SRB measures for almost Axiom A diffeomorphisms

• Type: Article in International Scientific Journal
• Date: 2016

Authors

alves, jf (Author) FCUP; Leplaideur, R (Author) Other

Journal

Title: Ergodic Theory and Dynamical Systems

Vol. 36

Pages: 2015-2043

ISSN: 0143-3857

Publisher: Cambridge University Press

Indexing

ISI Web of Knowledge - 5 Citations

Scopus - 5 Citations

Other information

Authenticus ID: P-00K-WA4

DOI: 10.1017/etds.2015.4

Abstract (EN): 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 an SRB (probability) measure.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 29