On the Hannay-Ozorio de Almeida sum formula

M. Pollicott; R. Sharp

doi:10.1007/978-3-642-14788-3_41

On the Hannay-Ozorio de Almeida sum formula

M. Pollicott, R. Sharp

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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. © Springer-Verlag Berlin Heidelberg 2011.

Original language	English
Title of host publication	Springer Proceedings in Mathematics\|Springer Proc. Math.
Subtitle of host publication	Springer Proceedings in Mathematics 2
Publisher	Springer Nature
Pages	575-590
Number of pages	15
Volume	2
DOIs	https://doi.org/10.1007/978-3-642-14788-3_41
Publication status	Published - 2011

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10.1007/978-3-642-14788-3_41

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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. {\textcopyright} Springer-Verlag Berlin Heidelberg 2011.",

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AB - 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. © Springer-Verlag Berlin Heidelberg 2011.

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BT - Springer Proceedings in Mathematics|Springer Proc. Math.

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On the Hannay-Ozorio de Almeida sum formula

Abstract

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