Ergodic properties of the horocycle flow and classification of Fuchsian groups

DOI10.1023/A:1009517621605zbMath0988.37038OpenAlexW1561031135MaRDI QIDQ1570898

Vadim A. Kaimanovich

Publication date: 22 July 2002

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1009517621605

zbMATH Keywords

ergodicitynormal subgroupsFuchsian groupsconservativityhorocycle flow on surfacesLiouville invariant measure

Mathematics Subject Classification ID

Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Differentials on Riemann surfaces (30F30)

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