The Graph and Range Singularity Spectra of Random Wavelet Series built from Gibbs measures
Dynamical Systems
2015-05-18 v1
Abstract
We consider multifractal random wavelet series built from Gibbs measures, and study the singularity spectra associated with the graph and range of these functions restricted to their iso-H\"older sets. To obtain these singularity spectra, we use a family of Gibbs measures defined on a sequence of topologically transitive subshift of finite type whose Hausdorff distance to the set of zeros of the mother wavelet tends to 0.
Keywords
Cite
@article{arxiv.1001.4337,
title = {The Graph and Range Singularity Spectra of Random Wavelet Series built from Gibbs measures},
author = {Xiong Jin},
journal= {arXiv preprint arXiv:1001.4337},
year = {2015}
}
Comments
30 pages