Multifractal analysis of random weak Gibbs measures
Dynamical Systems
2016-08-02 v1
Abstract
We describe the multifractal nature of random weak Gibbs measures on some class of attractors associated with random dynamics semi-conjugate to a random subshift of finite type. This includes the validity of the multifractal formalism, the calculation of Hausdorff and packing dimensions of the so-called level sets of divergent points, and a - law for the Hausdorff and packing measures of the level sets of the local dimension.
Cite
@article{arxiv.1608.00216,
title = {Multifractal analysis of random weak Gibbs measures},
author = {Zhihui Yuan},
journal= {arXiv preprint arXiv:1608.00216},
year = {2016}
}