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Large deviations for intermittent maps
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Pollicott, Mark and Sharp, Richard. (2009) Large deviations for intermittent maps. Nonlinearity, Vol.22 (No.9). pp. 2079-2092. ISSN 0951-7715
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Official URL: http://dx.doi.org/10.1088/0951-7715/22/9/001
Abstract
In this paper we study large deviation results for the Manneville-Pomeau map and related transformations to indifferent fixed points. In particular, we consider conditions under which the associated error term is polynomial or even exponential. For typical observables, polynomial estimates are optimal. However, under suitable conditions, the exponential error term arises from the compactness of the space of measures, despite the indifference of the fixed point.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | Nonlinearity |
| Publisher: | Institute of Physics Publishing Ltd. |
| ISSN: | 0951-7715 |
| Date: | September 2009 |
| Volume: | Vol.22 |
| Number: | No.9 |
| Number of Pages: | 14 |
| Page Range: | pp. 2079-2092 |
| Identification Number: | 10.1088/0951-7715/22/9/001 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| URI: | http://wrap.warwick.ac.uk/id/eprint/17444 |
Data sourced from Thomson Reuters' Web of Knowledge
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