Work

A multifractal zeta function for Gibbs measures supported on cookie-cutter sets

Year: 2013

Type: article

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.

Source: Nonlinearity

DOI: 10.1088/0951-7715/26/4/1125

Author: S P Baker

Institution: University of Manchester

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: Engineering and Physical Sciences Research Council

Award: DTA - The University of Manchester