The Generic Points for the Horocycle Flow on a Class of Hyperbolic Surfaces with Infinite Genus

Author:

Sarig Omri1,Schapira Barbara2

Affiliation:

1. Mathematics Department, The Pennsylvania State University, University Park, PA 16802, USA

2. L.A.M.F.A. UMR 6140, Faculté de Mathématiques et Informatique, Université Picardie Jules Verne, 33 Rue St Leu 80000 Amiens, France

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Reference33 articles.

1. Lalley's theorem on periodic orbits of hyperbolic flows;Babillot;Ergodic Theory and Dynamical Systems,1998

2. Geodesic paths and horocycle flows on Abelian covers;Babillot;Lie Groups and Ergodic Theory

3. Symbolic dynamics for hyperbolic flows;Bowen;American Journal of Mathematics,1973

4. Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms

5. Unique ergodicity for horocycle foliations;Bowen;Israel Journal of Mathematics,1977

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1. The conformal measures of a normal subgroup of a cocompact Fuchsian group;Ergodic Theory and Dynamical Systems;2020-09-28

2. Horocycle Flows on Surfaces with Infinite Genus;Infosys Science Foundation Series;2019

3. Asymptotic windings of horocycles;Israel Journal of Mathematics;2018-08-09

4. Joining measures for horocycle flows on abelian covers;Journal of Modern Dynamics;2018

5. Limit theorems for horocycle flows;Hyperbolic Dynamics, Fluctuations and Large Deviations;2015-04-01

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