The graph, range and level set singularity spectra of $b$-adic independent cascade function

Xiong Jin

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arXiv · 0911.1289

The graph, range and level set singularity spectra of $b$-adic independent cascade function

Xiong Jin

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Abstract

With the "iso-H\"older" sets of a function we naturally associate subsets of the graph, range and level set of the function. We compute the associated singularity spectra for a class of statistically self-similar multifractal functions, namely the $b$-adic independent cascade function.

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Xiong Jin. 2009-11-06. The graph, range and level set singularity spectra of $b$-adic independent cascade function. https://arxiv.org/abs/0911.1289

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