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

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

2009-11-06

arxiv.org/abs/0911.1289v2

Mathematics

Probability

37 pages, 10 figures

Scientific paper

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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