Octagonal continued fraction and diagonal changes

DOI10.13137/2464-8728/32167zbMath1490.11069arXiv2010.04670MaRDI QIDQ5087771

Mauro Artigiani

Publication date: 1 July 2022

Full work available at URL: https://arxiv.org/abs/2010.04670

zbMATH Keywords

translation surfacescontinued fractions algorithmsdiagonal changes

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Symbolic dynamics (37B10)

Cites Work

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• Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards
• Markov maps associated with Fuchsian groups
• Connected components of the moduli spaces of Abelian differentials with prescribed singularities
• Introduction to Teichmüller theory and its applications to dynamics of interval exchange transformations, flows on surfaces and billiards
• Diagonal changes for surfaces in hyperelliptic components
• 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
• The Modular Surface and Continued Fractions
• Geometrical Markov coding of geodesics on surfaces of constant negative curvature

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