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

DOI10.1093/IMRN/RNN086zbMath1169.37009arXiv0803.1943OpenAlexW2016010847MaRDI QIDQ3530038

Omri M. Sarig, Barbara Schapira

Publication date: 15 October 2008

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.1943

zbMATH Keywords

horocycle flowasymptotic cycleBabillot-Ledrappier measuregeneric vectorhyperbolic surface, \(\mathbb{Z}^{d}\) cover

Mathematics Subject Classification ID

Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (5)

Asymptotic windings of horocycles ⋮ Horocycle Flows on Surfaces with Infinite Genus ⋮ The visits to zero of a random walk driven by an irrational rotation ⋮ Joining measures for horocycle flows on abelian covers ⋮ The conformal measures of a normal subgroup of a cocompact Fuchsian group

This page was built for publication: The Generic Points for the Horocycle Flow on a Class of Hyperbolic Surfaces with Infinite Genus