The Graph and Range Singularity Spectra of Random Wavelet Series built from Gibbs measures
arXiv:1001.4337 · doi:10.1088/0951-7715/23/6/010
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-Hölder 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.
30 pages