The geometry of Markoff numbers
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Publication:1059104
DOI10.1007/BF03025802zbMath0566.10024OpenAlexW2073116343MaRDI QIDQ1059104
Publication date: 1985
Published in: The Mathematical Intelligencer (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf03025802
continued fractionsmodular surfaceself-intersectionssimple closed geodesicsMarkoff spectrumpunctured torusMarkoff quadratic irrationalities
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) Riemann surfaces (30F99)
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