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Moscow Mathematical Journal, 2009, Volume 9, Number 2, Pages 245–261
DOI: https://doi.org/10.17323/1609-4514-2009-9-2-245-261 (Mi mmj344) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Logarithmic asymptotics for the number of periodic orbits of the Teichmüller flow on Veech's space of zippered rectangles

Alexander I. Bufetov

Department of Mathematics, Rice University, Houston, Texas
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DOI: https://doi.org/10.17323/1609-4514-2009-9-2-245-261
Abstract: A logarithmic asymptotics is obtained for the number of periodic orbits of the Teichmüller flow on Veech's space of zippered rectangles, such that the norm of the corresponding renormalization matrix does not exceed a given value. The exponential growth rate of the number of such orbits is equal to the entropy of the flow.
Key words and phrases: periodic orbits, Teichmüller flow, suspension flows, moduli spaces, countable shifts.
Received: March 3, 2008
Bibliographic databases:
Document Type: Article
MSC: 37D25, 37A50, 37B40, 37C40
Language: English
Citation: Alexander I. Bufetov, “Logarithmic asymptotics for the number of periodic orbits of the Teichmüller flow on Veech's space of zippered rectangles”, Mosc. Math. J., 9:2 (2009), 245–261
Citation in format AMSBIB
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\by Alexander~I.~Bufetov
\paper Logarithmic asymptotics for the number of periodic orbits of the Teichm\"uller flow on Veech's space of zippered rectangles
\jour Mosc. Math.~J.
\yr 2009
\vol 9
\issue 2
\pages 245--261
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2568438}
\zmath{https://zbmath.org/?q=an:1188.37001}
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    • This publication is cited in the following 5 articles:
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