On the liftability of expanding stationary measures

• Tipo: Artigo em Revista Científica Internacional
• Data: 2021

Autores

alves, jf (Autor) FCUP; Dias, CL (Autor) Outra; Vilarinho, H (Autor) Outra

Revista

Título: Stochastics and Dynamics

Vol. 21

ISSN: 0219-4937

Editora: World Scientific

Indexação

ISI Web of Knowledge - 0 Citações

Scopus - 0 Citações

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 26