Cross sections for geodesic flows andα-continued fractions

DOI10.1088/0951-7715/26/3/711zbMath1268.37038arXiv1207.7299OpenAlexW1991234871MaRDI QIDQ4920100

Pierre Arnoux, Thomas A. Schmidt

Publication date: 16 May 2013

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.7299

zbMATH Keywords

geodesic flowcross sectionreturn mapregular continued fractions\(\alpha\)-variantsArnoux's coding

Mathematics Subject Classification ID

Continued fractions; complex-analytic aspects (30B70) Dynamical systems involving maps of the interval (37E05) Metric theory of continued fractions (11K50) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (11)

Ergodicity of Iwasawa continued fractions via markable hyperbolic geodesics ⋮ Attractors of dual continued fractions ⋮ Distribution of approximants and geodesic flows ⋮ Slow continued fractions, transducers, and the Serret theorem ⋮ Matching for a family of infinite measure continued fraction transformations ⋮ Commensurable continued fractions ⋮ \(\alpha\)-expansions with odd partial quotients ⋮ S-adic Sequences: A Bridge Between Dynamics, Arithmetic, and Geometry ⋮ Continued fractions with $SL(2, Z)$-branches: combinatorics and entropy ⋮ Coding of geodesics on some modular surfaces and applications to odd and even continued fractions ⋮ On a theorem of Davenport and Schmidt

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