Geodesics on modular surfaces and continued fractions-Reference-Cited by-同舟云学术

Geodesics on modular surfaces and continued fractions

Published:1982-03 Issue:1 Volume:2 Page:69-83
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

Moeckel R.

Abstract

AbstractA 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.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference9 articles.

1. [1] Arnold V. . Ergodic Problems of Classical Mechanics, Appendices 20, 21. Benjamin: Reading, Ma, 1968.

2. Ueber die Substitutionsgruppen, welche zu den aus dem Legendre’schen Integralmodulk 2(ω) gezogenen Wurzeln gehören

3. Ein mechanisches system mit quasiergodischen bahnen

4. A Metrically Transitive Group Defined by the Modular Groups

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