Almost sure rates of mixing for partially hyperbolic attractors
Dynamical Systems
2021-12-15 v3
Abstract
We introduce random towers to study almost sure rates of correlation decay for random partially hyperbolic attractors. Using this framework, we obtain abstract results on almost sure exponential, stretched exponential and polynomial correlation decay rates. We then apply our results to small random perturbations of Axiom A attractors, small perturbations of derived from Anosov partially hyperbolic systems and to solenoidal attractors with random intermittency.
Keywords
Cite
@article{arxiv.1904.12844,
title = {Almost sure rates of mixing for partially hyperbolic attractors},
author = {Jose F. Alves and Wael Bahsoun and Marks Ruziboev},
journal= {arXiv preprint arXiv:1904.12844},
year = {2021}
}
Comments
To appear in J. Differential Equations