Title : ( Uniform Hyperbolicity on Random Sets )
Authors: abbas ali rashid , Ali Reza Zamani Bahabadi ,
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Abstract
Let Λ be a random compact invariant (with respect to a random map) set with a uniform tangent bundle splitting. We show that if there is a random non-uniformly hyperbolic variable x0 on Λ and the space of limit points of time averages of random Dirac measures on the orbit of x0 coincides with the space of invariant probability measures supported on Λ then, Λ is a random uniformly hyperbolic set.
Keywords
, Random hyperbolicity, Uniform tangent bundle splitting, Random non-uniformly hyperbolic.
@article{paperid:1070252,
author = {Rashid, Abbas Ali and Zamani Bahabadi, Ali Reza},
title = {Uniform Hyperbolicity on Random Sets},
journal = {Sankhya A},
year = {2018},
month = {September},
issn = {0976-836X},
pages = {1--12},
numpages = {11},
keywords = {Random hyperbolicity; Uniform tangent bundle splitting; Random non-uniformly hyperbolic.},
}
%0 Journal Article
%T Uniform Hyperbolicity on Random Sets
%A Rashid, Abbas Ali
%A Zamani Bahabadi, Ali Reza
%J Sankhya A
%@ 0976-836X
%D 2018
