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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. 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 |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | Israel Journal of Mathematics |
| Publisher: | Magnes Press |
| ISSN: | 0021-2172 |
| Date: | June 2010 |
| Volume: | Vol.177 |
| Number: | No.1 |
| Number of Pages: | 20 |
| Page Range: | pp. 125-144 |
| Identification Number: | 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 |
| URI: | http://wrap.warwick.ac.uk/id/eprint/5273 |
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