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Multifractal analysis of non-uniformly hyperbolic systems

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Johansson, Anders, Jordan, Thomas M., Oberg, Anders and Pollicott, Mark (2010) Multifractal analysis of non-uniformly hyperbolic systems. Israel Journal of Mathematics, Vol.177 (No.1). pp. 125-144. doi:10.1007/s11856-010-0040-y

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Official URL: http://dx.doi.org/10.1007/s11856-010-0040-y

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Abstract

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

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Journal or Publication Title: Israel Journal of Mathematics
Publisher: Magnes Press
ISSN: 0021-2172
Official Date: June 2010
Dates:
DateEvent
June 2010Published
Volume: Vol.177
Number: No.1
Number of Pages: 20
Page Range: pp. 125-144
DOI: 10.1007/s11856-010-0040-y
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Funder: Engineering and Physical Sciences Research Council (EPSRC), STINT Fellowship

Data sourced from Thomson Reuters' Web of Knowledge

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