Contributions to the geometric and ergodic theory of conservative flows

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

Authors

Mario Bessa (Author) Other; Jorge Rocha (Author) FCUP

Journal

Title: Ergodic Theory and Dynamical Systems

Vol. 33

Pages: 1709-1731

ISSN: 0143-3857

Publisher: Cambridge University Press

Indexing

ISI Web of Knowledge - 9 Citations

Scopus - 11 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-008-KMZ

DOI: 10.1017/etds.2012.110

Abstract (EN): We prove the following dichotomy for vector fields in a C-1- residual subset of volume- preserving flows: for Lebesgue- almost every point, either all of its Lyapunov exponents are equal to zero or its orbit has a dominated splitting. Moreover, we prove that a volume- preserving and C-1- stably ergodic flow can be C-1- approximated by another volume- preserving flow which is non- uniformly hyperbolic.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 23