Classification of joinings for Kleinian groups
DOI10.1215/00127094-3476807zbMath1362.37009arXiv1404.1510OpenAlexW1825384268MaRDI QIDQ320243
Publication date: 6 October 2016
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1404.1510
Bowen-Margulis-Sullivan measureBurger-Roblin measureclassification of ergodic measuresgeometrically finite hyperbolic groups
Asymptotic results on counting functions for algebraic and topological structures (11N45) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Discrete subgroups of Lie groups (22E40) Hyperbolic groups and nonpositively curved groups (20F67) Group actions on manifolds and cell complexes in low dimensions (57M60) Homogeneous flows (37A17)
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Cites Work
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- The asymptotic distribution of circles in the orbits of Kleinian groups
- Horocycle flow on geometrically finite surfaces
- Horocycle flows, joinings and rigidity of products
- Uniform distribution of horocycle orbits for Fuchsian groups
- Mixing of frame flow for rank one locally symmetric spaces and measure classification
- A ratio ergodic theorem for multiparameter non-singular actions
- Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups
- Geometrically finite groups, Patterson-Sullivan measures and Ratner's rigidity theorem
- The density at infinity of a discrete group of hyperbolic motions
- On Raghunathan's measure conjecture
- The limit set of a Fuchsian group
- Flows on homogeneous spaces and Diophantine approximation on manifolds
- Invariant measures for actions of unipotent groups over local fields on homogeneous spaces
- Shadow Lemma and nondivergence of the horospheres of a geometrically finite manifold.
- On fractal measures and Diophantine approximation
- Rigidity of horocycle flows
- Invariant Radon measures for horocycle flows on Abelian covers
- Matrix coefficients, counting and primes for orbits of geometrically finite groups
- Geometrical finiteness for hyperbolic groups
- Joinings of higher-rank diagonalizable actions on locally homogeneous spaces
- Invariant measures for the stable foliation on negatively curved periodic manifolds
- On the ratio ergodic theorem for group actions
- Distribution of orbits in ℝ2 of a finitely generated group of SL(2,ℝ)
- Apollonian circle packings and closed horospheres on hyperbolic 3-manifolds
- Factors of horocycle flows
- Measurable Quotients of Unipotent Translations on Homogeneous Spaces
- Equidistribution and counting for orbits of geometrically finite hyperbolic groups
- Measurable rigidity of actions on infinite measure homogeneous spaces, II
- Ergodicity of unipotent flows and Kleinian groups
- Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
- Atomic and Nonatomic Measures
- Invariant measures for the horocycle flow on periodic hyperbolic surfaces