Fluctuations of ergodic sums for horocycle flows on \(\mathbb Z^d\)-covers of finite volume surfaces

DOI10.3934/dcds.2008.22.247zbMath1170.37004OpenAlexW2331548944MaRDI QIDQ945444

François Ledrappier, Omri M. Sarig

Publication date: 12 September 2008

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2008.22.247

zbMATH Keywords

geodesic flowhorocycle flow\(\mathbb Z^d\)-cover of a hyperbolic surfaceergodic sums of \(L^1\) functions

Mathematics Subject Classification ID

Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Nonsingular (and infinite-measure preserving) transformations (37A40) Homogeneous flows (37A17)

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