Multifractal spectra and multifractal zeta-functions

Mijovic, Vuksan; Olsen, Lars Ole Ronnow

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dc.contributor.author	Mijovic, Vuksan
dc.contributor.author	Olsen, Lars Ole Ronnow
dc.date.accessioned	2017-01-09T12:30:13Z
dc.date.available	2017-01-09T12:30:13Z
dc.date.issued	2017-02
dc.identifier	247542678
dc.identifier	f9166a1e-3697-4141-a159-cedb11a46012
dc.identifier	85007488400
dc.identifier	000393816800002
dc.identifier.citation	Mijovic , V & Olsen , L O R 2017 , ' Multifractal spectra and multifractal zeta-functions ' , Aequationes Mathematicae , vol. 91 , no. 1 , pp. 21-82 . https://doi.org/10.1007/s00010-016-0451-x	en
dc.identifier.issn	0001-9054
dc.identifier.other	ORCID: /0000-0002-8353-044X/work/60630684
dc.identifier.uri	https://hdl.handle.net/10023/10071
dc.description.abstract	We introduce multifractal zetafunctions providing precise information of a very general class of multifractal spectra, including, for example, the multifractal spectra of self-conformal measures and the multifractal spectra of ergodic Birkhoff averages of continuous functions. More precisely, we prove that these and more general multifractal spectra equal the abscissae of convergence of the associated zeta-functions.
dc.format.extent	62
dc.format.extent	1003787
dc.language.iso	eng
dc.relation.ispartof	Aequationes Mathematicae	en
dc.rights	© The Author(s) 2016. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.	en
dc.subject	Multifractals	en
dc.subject	Zeta functions	en
dc.subject	Large deviations	en
dc.subject	Ergodic theory	en
dc.subject	Hausdorff dimension	en
dc.subject	QA Mathematics	en
dc.subject	T-NDAS	en
dc.subject.lcc	QA	en
dc.title	Multifractal spectra and multifractal zeta-functions	en
dc.type	Journal article	en
dc.contributor.institution	University of St Andrews.Pure Mathematics	en
dc.identifier.doi	10.1007/s00010-016-0451-x
dc.description.status	Peer reviewed	en
dc.date.embargoedUntil	2016-12-31

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University of St Andrews Research

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