On cutting sequences of the \(L\)-shaped translation surface tiled by three squares

DOI10.1007/s11425-014-4922-zzbMath1343.37010OpenAlexW1974013456MaRDI QIDQ889824

Sheng Jian Wu, Yumin Zhong

Publication date: 9 November 2015

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-014-4922-z

zbMATH Keywords

cutting sequencestranslation surfacesaffine automorphisms

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Symbolic dynamics (37B10) Flows on surfaces (37E35)

Related Items (1)

Cutting sequences on square-tiled surfaces

Cites Work

• The geometry of Markoff numbers
• Affine mappings of translation surfaces: Geometry and arithmetic
• Cutting sequences, regular polygons, and the Veech group
• Cutting sequences on translation surfaces
• Geodesic flow on the Teichmueller disk of the regular octagon, cutting sequences and octagon continued fractions maps
• Beyond Sturmian sequences: coding linear trajectories in the regular octagon
• Languages of k -interval exchange transformations
• Describing the Set of Words Generated by Interval Exchange Transformation
• Billiards and Teichmüller curves on Hilbert modular surfaces
• Periodic trajectories in the regular pentagon
• Periodic trajectories in the regular pentagon, II

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