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Subexponential decay of correlations
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UNSPECIFIED. (2002) Subexponential decay of correlations. INVENTIONES MATHEMATICAE, 150 (3). pp. 629-653. ISSN 0020-9910
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Official URL: http://dx.doi.org/10.1007/s00222-002-0248-5
Abstract
We describe a method for proving subexponential lower bounds for correlations functions, and apply it to study decay of correlations for maps with countable Markov partitions. One result is that LS Young's upper estimates [Y2] are optimal in many situations. Our method is based on a general result concerning the asymptotics of renewal sequences of bounded operators acting on Banach spaces, which we apply to the iterates of the transfer operator.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Journal or Publication Title: | INVENTIONES MATHEMATICAE |
| Publisher: | SPRINGER-VERLAG |
| ISSN: | 0020-9910 |
| Date: | December 2002 |
| Volume: | 150 |
| Number: | 3 |
| Number of Pages: | 25 |
| Page Range: | pp. 629-653 |
| Identification Number: | 10.1007/s00222-002-0248-5 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/10227 |
Data sourced from Thomson Reuters' Web of Knowledge
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