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A note on statistical properties for nonuniformly hyperbolic systems with slow contraction and expansion
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Melbourne, Ian and Varandas, Paulo (2016) A note on statistical properties for nonuniformly hyperbolic systems with slow contraction and expansion. Stochastics and Dynamics, 16 (03). 1660012. doi:10.1142/S0219493716600121 ISSN 0219-4937.
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Official URL: http://dx.doi.org/10.1142/S0219493716600121
Abstract
We provide a systematic approach for deducing statistical limit laws via martingale-coboundary decomposition, for nonuniformly hyperbolic systems with slowly contracting and expanding directions. In particular, if the associated return time function is square-integrable, then we obtain the central limit theorem, the weak invariance principle, and an iterated version of the weak invariance principle.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Stochastics and Dynamics | ||||
| Publisher: | World Scientific Publishing Co. Pte. Ltd. | ||||
| ISSN: | 0219-4937 | ||||
| Official Date: | 11 February 2016 | ||||
| Dates: |
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| Volume: | 16 | ||||
| Number: | 03 | ||||
| Article Number: | 1660012 | ||||
| DOI: | 10.1142/S0219493716600121 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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