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Geodesics on modular surfaces and continued fractions

Published online by Cambridge University Press:  13 August 2009

R. Moeckel
R. Moeckel
Affiliation:
School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA
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Abstract

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A connection between the symbolic description of the geodesic flows on certain modular surfaces and the theory of continued fractions is developed. The well-known properties of these dynamical systems then lead to some new results about continued fractions.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 2 , Issue 1 , March 1982 , pp. 69 - 83
Copyright
Copyright © Cambridge University Press 1982

References

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