Geometrical Markov coding of geodesics on surfaces of constant negative curvature
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Publication:3723379
DOI10.1017/S0143385700003722zbMath0593.58033OpenAlexW2162022211MaRDI QIDQ3723379
Publication date: 1986
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0143385700003722
surfacegeodesic flowconstant negative curvaturesymbolic representationsheight functionsofic systemcodingssemi-infinite sequences of generatorsstring of generators
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)
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Cites Work
- Markov maps associated with Fuchsian groups
- Symbolic dynamics for geodesic flows
- The ergodic theory of axiom A flows
- On the metrical transitivity of the geodesics on closed surfaces of constant negative curvature
- The Modular Surface and Continued Fractions
- Cross section map for the geodesic flow on the modular surface
- A Metrically Transitive Group Defined by the Modular Groups
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