Quenched decay of correlations for nonuniformly hyperbolic random maps with an ergodic driving system
Sign Up to like & getrecommendations! Published in 2022 at "Nonlinearity"
DOI: 10.1088/1361-6544/acd220
Abstract: In this article we study random tower maps driven by an ergodic automorphism. We prove quenched exponential correlations decay for tower maps admitting exponential tails. Our technique is based on constructing suitable cones of functions,… read more here.
Keywords: quenched decay; random; correlations nonuniformly; decay correlations ... See more keywords
Quenched decay of correlations for slowly mixing systems
Sign Up to like & getrecommendations! Published in 2019 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7811
Abstract: We study random towers that are suitable to analyse the statistics of slowly mixing random systems. We obtain upper bounds on the rate of quenched correlation decay in a general setting. We apply our results… read more here.
Keywords: alpha; frac alpha; slowly mixing; quenched decay ... See more keywords