Statistical properties of physical-like measures
Dynamical Systems
2020-09-25 v2
Abstract
In this paper we consider the semi-continuity of the physical-like measures for diffeomorphisms with dominated splittings. We prove that any weak-* limit of physical-like measures along a sequence of diffeomorphisms must be a Gibbs -state for the limiting map . As a consequence, we establish the statistical stability for the perturbation of the time-one map of three-dimensional Lorenz attractors, and the continuity of the physical measure for the diffeomorphisms constructed by Bonatti and Viana.
Cite
@article{arxiv.2009.11089,
title = {Statistical properties of physical-like measures},
author = {Shaobo Gan and Fan Yang and Jiagang Yang and Rusong Zheng},
journal= {arXiv preprint arXiv:2009.11089},
year = {2020}
}