The graph, range and level set singularity spectra of $b$-adic independent cascade function
Probability
2010-01-25 v2
Abstract
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 -adic independent cascade function.
Keywords
Cite
@article{arxiv.0911.1289,
title = {The graph, range and level set singularity spectra of $b$-adic independent cascade function},
author = {Xiong Jin},
journal= {arXiv preprint arXiv:0911.1289},
year = {2010}
}
Comments
37 pages, 10 figures