On the liftability of expanding stationary measures

• Type: Article in International Scientific Journal
• Date: 2021

Authors

alves, jf (Author) FCUP; Dias, CL (Author) Other; Vilarinho, H (Author) Other

Journal

Title: Stochastics and Dynamics

Vol. 21

ISSN: 0219-4937

Publisher: World Scientific

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 0 Citations

Other information

Authenticus ID: P-00T-AN6

DOI: 10.1142/s0219493721500398

Abstract (EN): We consider random perturbations of a topologically transitive local diffeomorphism of a Riemannian manifold. We show that if an absolutely continuous ergodic stationary measures is expanding (all Lyapunov exponents positive), then there is a random Gibbs-Markov-Young structure which can be used to lift that measure. We also prove that if the original map admits a finite number of expanding invariant measures then the stationary measures of a sufficiently small stochastic perturbation are expanding.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 26