Coding of geodesics on some modular surfaces and applications to odd and even continued fractions

DOI10.1016/j.indag.2018.05.004zbMath1400.30051arXiv1711.06965OpenAlexW2768553068WikidataQ114167850 ScholiaQ114167850MaRDI QIDQ1782257

Florin P. Boca, Claire Merriman

Publication date: 20 September 2018

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.06965

zbMATH Keywords

geodesiccontinued fractionmodular surface

Mathematics Subject Classification ID

Continued fractions; complex-analytic aspects (30B70) Riemann surfaces (30F99)

Related Items (10)

Ergodicity of Iwasawa continued fractions via markable hyperbolic geodesics ⋮ Some asymptotic results for the continued fraction expansions with odd partial quotients ⋮ Odd-odd continued fraction algorithm ⋮ Intrinsic Diophantine approximation on the unit circle and its Lagrange spectrum ⋮ Lissajous 3-braids ⋮ Hausdorff dimensions of perturbations of a conformal iterated function system via thermodynamic formalism ⋮ Slow Continued Fractions and Permutative Representations of ⋮ Distribution of periodic points of certain Gauss shifts with infinite invariant measure ⋮ Distribution of the reduced quadratic irrationals arising from the odd continued fraction expansion ⋮ Geodesic flows and the mother of all continued fractions

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