Slow rates of mixing for dynamical systems with hyperbolic structures

• Type: Article in International Scientific Journal
• Date: 2008

Authors

alves, jf (Author) FCUP; pinheiro, v (Author) Other

Journal

Title: Journal of Statistical Physics

Vol. 131

Pages: 505-534

ISSN: 0022-4715

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 17 Citations

Scopus - 19 Citations

Scientific classification

FOS: Natural sciences > Physical sciences

Other information

Authenticus ID: P-003-ZTD

DOI: 10.1007/s10955-008-9482-6

Abstract (EN): We consider invertible discrete-time dynamical systems having a hyperbolic product structure in some region of the phase space with infinitely many branches and variable return time. We show that the decay of correlations of the SRB measure associated to that hyperbolic structure is related to the tail of the recurrence times. We also give sufficient conditions for the validity of the Central Limit Theorem. This extends previous results by Young.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 30