The graph and range singularity spectra of b-adic independent cascade functions

Xiong Jin

doi:10.1016/j.aim.2010.12.025

The graph and range singularity spectra of b-adic independent cascade functions

Xiong Jin

Pure Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

With the “iso-Hölder” sets of a function we naturally associate subsets of the graph and the range of the function. We compute the Hausdorff dimension of these subsets for a class of statistically self-similar multifractal functions, namely the b-adic independent cascade functions.

Original language	English
Pages (from-to)	4987-5017
Journal	Advances in Mathematics
Volume	226
Issue number	6
DOIs	https://doi.org/10.1016/j.aim.2010.12.025
Publication status	Published - Apr 2011

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title = "The graph and range singularity spectra of b-adic independent cascade functions",

abstract = "With the {\textquotedblleft}iso-H{\"o}lder{\textquotedblright} sets of a function we naturally associate subsets of the graph and the range of the function. We compute the Hausdorff dimension of these subsets for a class of statistically self-similar multifractal functions, namely the b-adic independent cascade functions.",

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DO - 10.1016/j.aim.2010.12.025

M3 - Article

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EP - 5017

JO - Advances in Mathematics

JF - Advances in Mathematics

IS - 6

ER -

The graph and range singularity spectra of b-adic independent cascade functions

Abstract

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