Geodesic flows and the mother of all continued fractions

DOI10.1142/S179304212250049XzbMath1494.11065arXiv2001.06073OpenAlexW3211621700WikidataQ114071906 ScholiaQ114071906MaRDI QIDQ5863783

Claire Merriman

Publication date: 3 June 2022

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.06073

zbMATH Keywords

geodesic flowcontinued fractionscutting sequences

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Metric theory of continued fractions (11K50) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Diophantine approximation in probabilistic number theory (11K60)

Cites Work

• Unnamed Item
• Unnamed Item
• Algorithms with mediant convergents and their metrical theory
• Metrical theory for a class of continued fraction transformations and their natural extensions
• The coding for geodesic flows on a modular surface
• \(\alpha\)-expansions with odd partial quotients
• Distribution of the periodic points of the Farey map
• Coding of geodesics on some modular surfaces and applications to odd and even continued fractions
• A class of continued fractions associated with certain properly discontinuous groups
• The Modular Surface and Continued Fractions
• Symbolic dynamics for the modular surface and beyond
• Geodesics on modular surfaces and continued fractions
• 'The mother of all continued fractions'
• Differentiable equivalence of fractional linear maps
• A new class of continued fraction expansions
• Fuchsian Groups and Ergodic Theory

This page was built for publication: Geodesic flows and the mother of all continued fractions