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arxiv: 0911.1289 · v2 · submitted 2009-11-06 · 🧮 math.PR

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

classification 🧮 math.PR
keywords functionadiccascadegraphindependentlevelrangesingularity
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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.

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