Multifractal analysis of dimension spectrum and the set of irregular points in non-uniformly hyperbolic systems
Dynamical Systems
2014-01-10 v1
Abstract
We study the multifractal analysis of dimension spectrum for almost additive potential in a class of one dimensional non-uniformly hyperbolic dynamic systems and prove that the irregular set has full Hausdroff dimension.
Keywords
Cite
@article{arxiv.1401.1896,
title = {Multifractal analysis of dimension spectrum and the set of irregular points in non-uniformly hyperbolic systems},
author = {Ma Guan-Zhong and Yao Xiao},
journal= {arXiv preprint arXiv:1401.1896},
year = {2014}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1311.5083