On The Uniqueness of SRB Measures for Endomorphisms
Dynamical Systems
2017-03-21 v1
Abstract
In this paper we improve the results of \cite{MT} and show that a weak hyperbolic transitivity implies the uniqueness of hyperbolic SRB measures. As an important corollary, it arises the ergodicity of the system in a conservative setting. It also arises the condition which implies the stable ergodicity as well as the statistical stability for a general -regular map.
Keywords
Cite
@article{arxiv.1703.06332,
title = {On The Uniqueness of SRB Measures for Endomorphisms},
author = {Pouya Mehdipour},
journal= {arXiv preprint arXiv:1703.06332},
year = {2017}
}