Computing Self-Intersections of Closed Geodesics on Finite-Sheeted Covers of the Modular Surface

DOI10.2307/2007807zbMath0556.10017OpenAlexW4245631235MaRDI QIDQ3220655

Mark Sheingorn, Joseph Lehner

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2007807

zbMATH Keywords

algorithmRiemann surfaceclosed geodesicself-intersectionsMarkov spectrumMarkov quadratic irrationalityPSL(2,\({\mathbb{Z}})\)

Mathematics Subject Classification ID

Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Homogeneous approximation to one number (11J04) Algorithms in computer science (68W99) Riemann surfaces (30F99)

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