Strong statistical stability of non-uniformly expanding maps

• Type: Article in International Scientific Journal
• Date: 2004

Authors

alves, jf (Author) FCUP

Journal

Title: Nonlinearity

Vol. 17

Pages: 1193-1215

ISSN: 0951-7715

Publisher: Institute of Physics Publishing

Indexing

ISI Web of Knowledge - 39 Citations

Scopus - 38 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-000-9TG

DOI: 10.1088/0951-7715/17/4/004

Abstract (EN): We consider families of transformations in multidimensional Riemannian manifolds with non-uniformly expanding behaviour. We give sufficient conditions for the continuous variation (in the L-1-norm) of the densities of absolutely continuous (with respect to the Lebesgue measure) invariant probability measures for those transformations.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 23