Markovian Random Iterations of Maps
Dynamical Systems
2019-06-07 v3
Abstract
In this paper, we study Markovian random iterations of maps on standard measurable spaces. We establish a one-to-one correspondence between stationary measures and a certain class of invariant measures of a Markovian random iteration, extending a similar classical result of independent and identically distributed random iterations. As an application, we prove a local synchronization property for Markovian random iterations of homeomorphisms of the circle .
Cite
@article{arxiv.1905.09981,
title = {Markovian Random Iterations of Maps},
author = {Edgar Matias},
journal= {arXiv preprint arXiv:1905.09981},
year = {2019}
}