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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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > 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.) | ||||
Official Date: | 2011 | ||||
Dates: |
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Volume: | Vol.2 | ||||
Page Range: | pp. 575-590 | ||||
DOI: | 10.1007/978-3-642-14788-3_41 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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