Geodesic continued fractions

DOI10.1307/mmj/1331222851zbMath1382.11023OpenAlexW1985530648MaRDI QIDQ1940077

Alan F. Beardon, Meira Hockman, Ian Short

Publication date: 5 March 2013

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.mmj/1331222851

zbMATH Keywords

continued fractionsFord circlesFarey neighborsgeodesic expansion

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Farey sequences; the sequences (1^k, 2^k, dots) (11B57)

Related Items (11)

On parabolic and elliptic elements of the modular group ⋮ An entropy problem of the \(\alpha \)-continued fraction maps ⋮ Classifying 𝑆𝐿₂-tilings ⋮ The geometry of Gaussian integer continued fractions ⋮ Continued fractions related to a group of linear fractional transformations ⋮ Geodesic Gaussian integer continued fractions ⋮ On translation lengths of Anosov maps on the curve graph of the torus ⋮ The Farey octahedron graph, the Poincaré polyhedron theorem and Gaussian integer continued fractions ⋮ Circuit complexity of knot states in Chern-Simons theory ⋮ Continued fractions arising from \(\mathcal{F}_{1,2}\) ⋮ Necessary and sufficient conditions for convergence of integer continued fractions

Cites Work

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• Hurwitz sequences, the Farey process, and general continued fractions
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• Continued fractions, discrete groups and complex dynamics
• The Modular Surface and Continued Fractions
• Symbolic dynamics for the modular surface and beyond
• Continued Fractions without Tears
• 'The mother of all continued fractions'
• Fractions
• Cutting sequences for geodesic flow on the modular surface and continued fractions

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