基于Gibbs测度的随机小波序列的图奇异谱和极差奇异谱
The Graph and Range Singularity Spectra of Random Wavelet Series built from Gibbs measures
摘要：
我们考虑由Gibbs测度构造的多重分形随机小波序列，研究了这些函数在其iso-Hölder集上的图和值域的奇异谱。为了获得这些奇异谱，我们使用定义在有限型的拓扑传递子移位序列上的吉布斯测度族，其到母小波的零点集的Hausdorff距离趋于0。
英文摘要：
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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