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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
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: |
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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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