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Statistical properties and decay of correlations for interval maps with critical points and singularities
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Luzzatto, Stefano and Melbourne, Ian (2013) Statistical properties and decay of correlations for interval maps with critical points and singularities. Communications in Mathematical Physics, Volume 320 (Number 1). pp. 21-35. doi:10.1007/s00220-013-1709-y ISSN 0010-3616.
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Official URL: http://dx.doi.org/10.1007/s00220-013-1709-y
Abstract
We consider a class of piecewise smooth one-dimensional maps with critical points and singularities (possibly with infinite derivative). Under mild summability conditions on the growth of the derivative on critical orbits, we prove the central limit theorem and a vector-valued almost sure invariance principle. We also obtain results on decay of correlations and large deviations.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Communications in Mathematical Physics | ||||
| Publisher: | Springer | ||||
| ISSN: | 0010-3616 | ||||
| Official Date: | 2013 | ||||
| Dates: |
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| Volume: | Volume 320 | ||||
| Number: | Number 1 | ||||
| Page Range: | pp. 21-35 | ||||
| DOI: | 10.1007/s00220-013-1709-y | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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