Stability of the Markov operator and synchronization of Markovian random products
Dynamical Systems
2018-04-18 v1
Abstract
We study Markovian random products on a large class of "m-dimensional" connected compact metric spaces (including products of closed intervals and trees). We introduce a splitting condition, generalizing the classical one by Dubins and Freedman, and prove that this condition implies the asymptotic stability of the corresponding Markov operator and (exponentially fast) synchronization.
Keywords
Cite
@article{arxiv.1707.06411,
title = {Stability of the Markov operator and synchronization of Markovian random products},
author = {Lorenzo J. Díaz and Edgar Matias},
journal= {arXiv preprint arXiv:1707.06411},
year = {2018}
}