The theta group and the continued fraction expansion with even partial quotients

DOI10.1007/BF00181695zbMath0841.58049OpenAlexW2166740752MaRDI QIDQ1906248

Cornelis Kraaikamp, Artur Oscar Lopes

Publication date: 17 March 1996

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00181695

zbMATH Keywords

Riemann surfacesthermodynamic formalismFuchsian groupsclosed geodesicscontinued fraction expansiontheta groupeven partial quotients

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Geodesic flows in symplectic geometry and contact geometry (53D25) Ergodic theory (37A99) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Modular correspondences, etc. (11F32)

Related Items (15)

Odd-odd continued fraction algorithm ⋮ Continued fractions related to a group of linear fractional transformations ⋮ Dynamical analysis of a class of Euclidean algorithms. ⋮ Perron-Frobenius operators and the Klein-Gordon equation ⋮ Heisenberg uniqueness pairs and the Klein-Gordon equation ⋮ Limiting curlicue measures for theta sums ⋮ Coding of geodesics on some modular surfaces and applications to odd and even continued fractions ⋮ Natural extensions for the Rosen fractions ⋮ Unnamed Item ⋮ A note on Hurwitzian numbers ⋮ Renewal-type limit theorem for continued fractions with even partial quotients ⋮ Distribution of periodic points of certain Gauss shifts with infinite invariant measure ⋮ Symbolic dynamics for the modular surface and beyond ⋮ Continued fractions arising from \(\mathcal{F}_{1,2}\) ⋮ Hardy-Littlewood series and even continued fractions

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