Revisiting multifractal analysis
Metric Geometry
2010-05-27 v1
Abstract
New proofs of theorems on the multifractal formalism are given. They yield results even at points q for which Olsen's functions b(q) and B(q) differ. Indeed, we provide an example of measure for which functions b and B differ and for which the Hausdorff dimension of the level sets of the local Holder exponent are given by the Legendre transform of b and their packing dimension by the Legendre transform of B.
Cite
@article{arxiv.1005.4866,
title = {Revisiting multifractal analysis},
author = {Fathi Ben Nasr and Jacques Peyrière},
journal= {arXiv preprint arXiv:1005.4866},
year = {2010}
}
Comments
11 pages