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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 ISSN 0021-2172.
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Official URL: http://dx.doi.org/10.1007/s11856-010-0040-y
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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Israel Journal of Mathematics | ||||
Publisher: | Magnes Press | ||||
ISSN: | 0021-2172 | ||||
Official Date: | June 2010 | ||||
Dates: |
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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 |
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