Geometry of expanding absolutely continuous invariant measures and the liftability problem

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

Authors

alves, jf (Author) FCUP; dias, cl (Author) Other; luzzatto, s (Author) Other

Journal

The Journal is awaiting validation by the Administrative Services.

Title: ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE

Vol. 30

Pages: 101-120

ISSN: 0294-1449

Indexing

ISI Web of Knowledge - 9 Citations

Scopus - 11 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-002-1F1

DOI: 10.1016/j.anihpc.2012.06.004

Abstract (EN): We show that for a large class of maps on manifolds of arbitrary finite dimension, the existence of a Gibbs-Markov-Young structure (with Lebesgue as the reference measure) is a necessary as well as sufficient condition for the existence of an invariant probability measure which is absolutely continuous measure (with respect to Lebesgue) and for which all Lyapunov exponents are positive.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 20