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Large and moderate deviations for slowly mixing dynamical systems
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Melbourne, Ian (2008) Large and moderate deviations for slowly mixing dynamical systems. Proceedings of the American Mathematical Society, Vol.137 (No.5). pp. 1735-1741. doi:10.1090/S0002-9939-08-09751-7 ISSN 0002-9939.
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Official URL: http://dx.doi.org/10.1090/S0002-9939-08-09751-7
Abstract
We obtain results on large deviations for a large class of nonuniformly hyperbolic dynamical systems with polynomial decay of correlations , . This includes systems modelled by Young towers with polynomial tails, extending recent work of M. Nicol and the author which assumed . As a byproduct of the proof, we obtain slightly stronger results even when . The results are sharp in the sense that there exist examples (such as Pomeau-Manneville intermittency maps) for which the obtained rates are best possible. In addition, we obtain results on moderate deviations.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Proceedings of the American Mathematical Society | ||||
| Publisher: | American Mathematical Society | ||||
| ISSN: | 0002-9939 | ||||
| Official Date: | 2008 | ||||
| Dates: |
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| Volume: | Vol.137 | ||||
| Number: | No.5 | ||||
| Page Range: | pp. 1735-1741 | ||||
| DOI: | 10.1090/S0002-9939-08-09751-7 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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