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

preprint2010arXivOpen access

With the "iso-Hölder" 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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The graph, range and level set singularity spectra of $b$ -adic independent cascade function

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

Abstract

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