3 papers
math.DS2021
Multifractal analysis in non-uniformly hyperbolic interval maps
Guan-Zhong Ma, Wen-Qiang Shen, Xiao Yao
In this paper, we study the Hausdorff dimension of the generalized intrinsic level set with respect to the given ergodic meausre in a class of non-uniformly hyperbolic interval map…
math.DS2014
Multifractal analysis of dimension spectrum and the set of irregular points in non-uniformly hyperbolic systems
Ma Guan-Zhong, Yao Xiao
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 irr…
math.DS2013
Higher dimensional multifractal analysis of non-uniformly hyperbolic systems
Ma Guan-Zhong, Yao Xiao
Johansson, Jordan, Öberg and Pollicott ( Israel J. Math.(2010)) has studied the multifractal analysis of a class of one-dimensional non-uniformly hyperbolic systems, by introducing…