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arXiv · 1001.4337

The Graph and Range Singularity Spectra of Random Wavelet Series built from Gibbs measures

Xiong Jin
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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.

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Xiong Jin. 2010-01-25. The Graph and Range Singularity Spectra of Random Wavelet Series built from Gibbs measures. https://doi.org/10.1088/0951-7715%2F23%2F6%2F010

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