Multifractal formalism for typical probability measures on self-similar sets
Dynamical Systems
2012-06-05 v3
Abstract
In this work, we investigate the H\"older spectrum of typical measures (in the Baire category sense) in a general compact set and we compute the multifractal spectrum of a typical measures supported by a self-similar set. Such mesures verify the multifractal formalism.
Keywords
Cite
@article{arxiv.1205.6707,
title = {Multifractal formalism for typical probability measures on self-similar sets},
author = {Moez Ben Abid},
journal= {arXiv preprint arXiv:1205.6707},
year = {2012}
}
Comments
19 pages