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

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

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Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/46856
Identification Number/DOI	10.1088/0951-7715/26/4/1125
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	IOP Publishing
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Date Deposited:	23 Nov 2015 15:09	Date item deposited into CentAUR
Last Modified:	23 Jun 2024 04:45	Date item last modified

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