The Markoff Spectrum in the Hecke Group G 5

DOI10.1112/plms/s3-57.1.151zbMath0619.10020OpenAlexW2315997818MaRDI QIDQ3755508

Caroline Series

Publication date: 1988

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-57.1.151

zbMATH Keywords

symbolic dynamicsdiophantine approximationonce-punctured torussimple closed geodesicsHecke groupPoincaré upper half planeMarkov treeessential heights of geodesics

Mathematics Subject Classification ID

Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Continued fractions; complex-analytic aspects (30B70) Non-Euclidean differential geometry (53A35) Homogeneous approximation to one number (11J04)

Related Items (7)

Multifractal spectrum of an experimental (video feedback) Farey tree ⋮ Length spectra of the Hecke triangle groups ⋮ Historical magic in old quantum theory? ⋮ The Markov spectra for triangle groups ⋮ Quantization of magnetic flux through the orbits of the hydrogen atom. And its relation to hyperfine interaction based on the Rutherford-Bohr model ⋮ Structural properties of quotient surfaces of a Hecke group ⋮ The Markov spectra for Fuchsian groups

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