Measurable Quotients of Unipotent Translations on Homogeneous Spaces

DOI10.2307/2154988zbMath0831.28010arXivmath/9607220OpenAlexW4240015365MaRDI QIDQ4316955

Dave Witte Morris

Publication date: 19 December 1994

Full work available at URL: https://arxiv.org/abs/math/9607220

zbMATH Keywords

invariant measuresunipotent groupsactionsdouble coset quotientsmeasurable quotients

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) General groups of measure-preserving transformations (28D15) Ergodic theory (37A99)

Related Items (16)

Joinings of higher-rank diagonalizable actions on locally homogeneous spaces ⋮ Classification of joinings for Kleinian groups ⋮ Limit distributions of expanding translates of certain orbits on homogeneous spaces ⋮ Global smooth and topological rigidity of hyperbolic lattice actions ⋮ Equidistribution of primitive rational points on expanding horospheres ⋮ Characters of algebraic groups over number fields ⋮ On measure rigidity of unipotent subgroups of semisimple groups ⋮ Groups generating transversals to semisimple Lie group actions ⋮ Deformations of group actions ⋮ Rigidity of group actions on homogeneous spaces. III ⋮ A canonical arithmetic quotient for actions of lattices in simple groups ⋮ Maximal subgroups and von Neumann subalgebras with the Haagerup property ⋮ Measure rigidity for almost linear groups and its applications ⋮ Group actions on nonseparated 1-manifolds and foliations of codimension one ⋮ Invariant measures and orbit closures for unipotent actions on homogeneous spaces ⋮ Unique ergodicity on compact homogeneous spaces

Cites Work

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• Horocycle flows, joinings and rigidity of products
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• On Raghunathan's measure conjecture
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• Rigidity of horocycle flows
• Almost algebraic Lie algebras
• Factors of horocycle flows
• Ergodic theory in hyperbolic space
• Zero-Entropy Affine Maps on Homogeneous Spaces
• Flows on Homogeneous Spaces: A New Look
• The Geometries of 3-Manifolds
• Ergodicity of Flows on Homogeneous Spaces
• Metric Classification of Ergodic Nilflows and Unipotent Affines

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