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

Baker, S. (2013) A multifractal zeta function for Gibbs measures supported on cookie-cutter sets. Nonlinearity, 26 (4). pp. 1125-1142. ISSN 1361-6544

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To link to this item DOI: 10.1088/0951-7715/26/4/1125

Abstract/Summary

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.

Item Type:Article
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:46856
Publisher:IOP Publishing

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