ERGODIC PROPERTIES OF VIANA-LIKE MAPS WITH SINGULARITIES IN THE BASE DYNAMICS

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

Authors

alves, jf (Author) FCUP; schnellmann, d (Author) Other

Journal

Title: Proceedings of the American Mathematical Society

Vol. 141

Pages: 3943-3955

ISSN: 0002-9939

Publisher: American Mathematical Society

Indexing

ISI Web of Knowledge - 6 Citations

Scopus - 7 Citations

Other information

Authenticus ID: P-008-D2Y

DOI: 10.1090/s0002-9939-2013-11680-1

Abstract (EN): We consider two examples of Viana maps for which the base dynamics has singularities (discontinuities or critical points) and show the existence of a unique absolutely continuous invariant probability measure and related ergodic properties such as stretched exponential decay of correlations and stretched exponential large deviations.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 13