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

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Jin, Xiong
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Abstract
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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.
Comment: 37 pages, 10 figures
Keywords
Mathematics - Probability, 26A30, 28A78, 28A80
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