Continued fractions on the Veech surfaces

DOI10.1007/BF02788985zbMath1029.11035OpenAlexW2067988037MaRDI QIDQ1591319

Pascal Hubert, Pierre Arnoux

Publication date: 19 May 2003

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02788985

zbMATH Keywords

Veech groupsTeichmüller geodesic flow

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Teichmüller theory for Riemann surfaces (30F60) Continued fractions; complex-analytic aspects (30B70) Homogeneous flows (37A17)

Related Items (12)

Infinitely generated Veech groups ⋮ CONTINUED FRACTIONS FOR A CLASS OF TRIANGLE GROUPS ⋮ Distribution of approximants and geodesic flows ⋮ Transcendence with Rosen continued fractions ⋮ SINGULAR DIRECTIONS IN VEECH SURFACES ⋮ Commensurable continued fractions ⋮ Diophantine approximation on Veech surfaces ⋮ Invariants of translation surfaces ⋮ Rosen fractions and Veech groups, an overly brief introduction ⋮ Decreasing height along continued fractions ⋮ Affine diffeomorphisms of translation surfaces: Periodic points, Fuchsian groups, and arithmeticity ⋮ Veech groups and polygonal coverings

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