Xiong Jin
Published 2010-01-25Version 1
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.
Generalized $u$-Gibbs measures for $C^\infty$ diffeomorphisms
Parametrized Families of Gibbs Measures and their Statistical Inference
Exponential decay of correlations for Gibbs measures on attractors of Axiom A flows
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