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On the Hannay–Ozorio De Almeida sum formula
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Pollicott, Mark and Sharp, Richard (2011) On the Hannay–Ozorio De Almeida sum formula. In: Peixoto, Mauricio Matos and Pinto, Alberto Adrego and Rand, D. A. (David A.), (eds.) Dynamics, Games and Science II. Springer Proceedings in Mathematics, Vol.2 . Berlin ; Heidelberg: Springer, pp. 575-590. ISBN 9783642147876
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Official URL: http://dx.doi.org/10.1007/978-3-642-14788-3_41
Abstract
In this note we consider the well known Hannay–Ozorio de Almeida sum formula from a mathematically rigorous viewpoint. In particular, we discuss situations where we can obtain the Sinai–Ruelle–Bowen measure as a limit taken over periodic orbits with periods in an interval which shrinks as it moves to infinity.
| Item Type: | Book Item |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Mathematics |
| Series Name: | Springer Proceedings in Mathematics |
| Publisher: | Springer |
| Place of Publication: | Berlin ; Heidelberg |
| ISBN: | 9783642147876 |
| ISSN: | 2190-5614 |
| Book Title: | Dynamics, Games and Science II |
| Editor: | Peixoto, Mauricio Matos and Pinto, Alberto Adrego and Rand, D. A. (David A.) |
| Date: | 2011 |
| Volume: | Vol.2 |
| Page Range: | pp. 575-590 |
| Identification Number: | 10.1007/978-3-642-14788-3_41 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| URI: | http://wrap.warwick.ac.uk/id/eprint/43865 |
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