A multifractal zeta function for cookie cutter sets
Dynamical Systems
2015-06-11 v1 Complex Variables
Abstract
Starting with the work of Lapidus and van Frankenhuysen a number of papers have introduced zeta functions as a way of capturing multifractal information. In this paper we propose a new multifractal zeta function and show that under certain conditions the abscissa of convergence yields the Hausdorff multifractal spectrum for a class of measures.
Keywords
Cite
@article{arxiv.1208.2632,
title = {A multifractal zeta function for cookie cutter sets},
author = {Simon Baker},
journal= {arXiv preprint arXiv:1208.2632},
year = {2015}
}