Infinite ergodic theory for Kleinian groups

DOI10.1017/S014338570400104XzbMath1115.37004MaRDI QIDQ5709838

Manuel Stadlbauer, Bernd O. Stratmann

Publication date: 30 November 2005

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

limit setgeodesic flowMarkov mapexponent of convergencePoincaré section

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) General groups of measure-preserving transformations (28D15) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Geodesic flows in symplectic geometry and contact geometry (53D25) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) General groups of measure-preserving transformations and dynamical systems (37A15) Nonsingular (and infinite-measure preserving) transformations (37A40)

Related Items (4)

Lyapunov spectra for KMS states on Cuntz-Krieger algebras ⋮ A multifractal analysis for cuspidal windings on hyperbolic surfaces ⋮ Dimensions of limit sets of Kleinian groups ⋮ A Fréchet law and an Erdős–Philipp law for maximal cuspidal windings

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