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

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. © 2011 Elsevier Inc.

Original language	English
Pages (from-to)	4987-5017
Number of pages	30
Journal	Advances in Mathematics
Volume	226
Issue number	6
DOIs	https://doi.org/10.1016/j.aim.2010.12.025
Publication status	Published - 1 Apr 2011

Keywords

Graph
Hausdorff dimension
Independent cascade function
Multifractal analysis
Range
Singularity spectrum

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10.1016/j.aim.2010.12.025

http://dx.doi.org/10.1016/j.aim.2010.12.025

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KW - Independent cascade function

KW - Multifractal analysis

KW - Range

KW - Singularity spectrum

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JO - Advances in Mathematics

JF - Advances in Mathematics

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

Abstract

Keywords

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