ON GOOD APPROXIMATIONS AND THE BOWEN–SERIES EXPANSION

DOI10.1017/S0004972720001483zbMath1475.11134arXiv2009.04389OpenAlexW3125974995WikidataQ114117696 ScholiaQ114117696MaRDI QIDQ4999629

Luca Marchese

Publication date: 7 July 2021

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.04389

zbMATH Keywords

continued fractionsFuchsian groups

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10)

Cites Work

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• The Lagrange spectrum of a Veech surface has a Hall ray
• On the Lenstra constant associated to the Rosen continued fractions
• Markov maps associated with Fuchsian groups
• Riemann surfaces have Hall rays at each cusp
• A class of continued fractions associated with certain properly discontinuous groups
• Persistent Hall rays for Lagrange spectra at cusps of Riemann surfaces
• Diophantine approximation on Hecke groups
• Hecke groups and continued fractions
• Diophantine approximation in Fuchsian groups

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