On the abundance of SRB measures
Dynamical Systems
2018-04-11 v1
Abstract
We prove the abundance of Sinai-Ruelle-Bowen measures for diffeomorphisms away from ones with a homoclinic tangency. This is motivated by conjectures of Palis on the existence of physical (Sinai-Ruelle-Bowen) measures for global dynamics. The main novelty in this paper is that we have to deeply study Gibbs -states in different levels. Note that we have to use random perturbations to give some upper bound of the level of Gibbs -states.
Keywords
Cite
@article{arxiv.1804.03328,
title = {On the abundance of SRB measures},
author = {Yongluo Cao and Zeya Mi and Dawei Yang},
journal= {arXiv preprint arXiv:1804.03328},
year = {2018}
}