NON-UNIFORM HYPERBOLICITY FOR INFINITE DIMENSIONAL COCYCLES

• Type: Article in International Scientific Journal
• Date: 2013

Authors

Mario Bessa (Author) Other; Maria Carvalho (Author) FCUP

Journal

Title: Stochastics and Dynamics

Vol. 13

Pages: 1-17

ISSN: 0219-4937

Publisher: World Scientific

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 1 Citation

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-004-ZPX

Abstract (EN): Let H be an infinite dimensional Hilbert space, X a compact Hausdorff space and f : X -> X a homeomorphism which preserves a Borel ergodic probability measure which is positive on non-empty open sets. We prove that non-uniformly Anosov cocycles are C-0-dense in the family of partially hyperbolic cocycles with non-trivial unstable bundles.

Language: English

Type (Professor's evaluation): Scientific