paper

Multifractal analysis of dimension spectrum and the set of irregular points in non-uniformly hyperbolic systems

arXiv:1401.1896

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.

arXiv admin note: substantial text overlap with arXiv:1311.5083