Hermitian continued fractions and hyperbolic billards

DOI10.5802/jtnb.215zbMath0927.11045OpenAlexW2313968487MaRDI QIDQ1273174

Pierrick Meignen

Publication date: 23 June 1999

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_1998__10_1_1_0

zbMATH Keywords

billiardsergodic theoryfundamental invariantsHermite continued fractions

Mathematics Subject Classification ID

Metric theory of continued fractions (11K50)

Related Items (1)

The natural extension of the Gauss map and the Hermite best approximations

Cites Work

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• Dynamical systems II. Ergodic theory with applications to dynamical systems and statistical mechanics. Transl. from the Russian
• Geometry II: spaces of constant curvature. Transl. from the Russian by V. Minachin
• Generating series for the Coxeter groups and applications
• The Modular Surface and Continued Fractions
• Geometrical Markov coding of geodesics on surfaces of constant negative curvature
• Geodesics on modular surfaces and continued fractions
• Ergodic theory and the geodesic flow on surfaces of constant negative curvature

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