arXiv subjects

Ma Guan-Zhong

Publications and source records attributed to Ma Guan-Zhong.

2 recordsLinked to original sources

arXiv2014

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

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.

math.DS↗

arXiv2013

Higher dimensional multifractal analysis of non-uniformly hyperbolic systems

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 some new techniques, we extend the results to the case of high dimension.

math.DS↗