scientific article

zbMath1147.37020MaRDI QIDQ3499970

Ilie Ugarcovici, Svetlana Katok

Publication date: 3 June 2008

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

continued fraction expansionstopological Markov chainmodular surfacearithmetic methods for coding oriented geodesics

Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Continued fractions and generalizations (11J70) Structure of modular groups and generalizations; arithmetic groups (11F06) Symbolic dynamics (37B10) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

Related Items (7)

Ergodicity of Iwasawa continued fractions via markable hyperbolic geodesics ⋮ Applications of (a,b)-continued fraction transformations ⋮ Dimension of certain sets of regular and minus continued fractions with positive partial quotients ⋮ On the topological entropy of (a, b)-continued fraction transformations ⋮ On values of isotropic quadratic forms ⋮ On certain orbits of geodesic flow and \((a,b)\)-continued fractions ⋮ Finite Partitions for Several Complex Continued Fraction Algorithms

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