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Multifractal analysis of non-uniformly hyperbolic systems
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences, Mathematics. (Matematik)
Department of Mathematics, University of Bristol, Bristol, United Kingdom.
Department of Mathematics, Uppsala Universitet, Uppsala, Sweden.
Mathematics Institute, University of Warwick, Coventry, United Kingdom.
2010 (English)In: Israel Journal of Mathematics, ISSN 0021-2172, E-ISSN 1565-8511, Vol. 177, no 1, p. 125-144Article in journal (Refereed) Published
Abstract [en]

We prove a multifractal formalism for Birkhoff averages of continuous functions in the case of some non-uniformly hyperbolic maps, which includes interval examples such as the Manneville-Pomeau map.

Place, publisher, year, edition, pages
2010. Vol. 177, no 1, p. 125-144
Keywords [en]
hyperbolic maps, Multifractal analysis, non-uniformly hyperbolic systems
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:hig:diva-5469DOI: 10.1007/s11856-010-0040-yISI: 000281396700005Scopus ID: 2-s2.0-77956123226OAI: oai:DiVA.org:hig-5469DiVA, id: diva2:235733
Available from: 2009-09-17 Created: 2009-09-17 Last updated: 2018-03-13Bibliographically approved

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Johansson, Anders

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