Weak mixing and unique ergodicity on homogeneous spaces

DOI10.1007/BF02761804zbMath0338.43014OpenAlexW2070008907MaRDI QIDQ1231123

Rufus Bowen

Publication date: 1976

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02761804

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Harmonic analysis on homogeneous spaces (43A85) Measures on groups and semigroups, etc. (43A05) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (13)

Dynamical complexity and pathological order in the cardiac monitoring problem ⋮ Tangentially distal flows ⋮ Invariant measures and minimal sets of horospherical flows ⋮ On measure rigidity of unipotent subgroups of semisimple groups ⋮ On strictly weakly mixing \(C^*\)-dynamical systems ⋮ On mixing properties of compact group extensions of hyperbolic systems ⋮ Invariant measures of horospherical flows on non-compact homogeneous spaces ⋮ Unique ergodicity of flows on homogeneous spaces ⋮ Raghunathan's conjectures for \(SL(2,{\mathbb{R}{}})\) ⋮ Limit theorems for partially hyperbolic systems ⋮ Strict measure rigidity for unipotent subgroups of solvable groups ⋮ Invariant measures and orbit closures for unipotent actions on homogeneous spaces ⋮ Unique ergodicity on compact homogeneous spaces

Cites Work

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• Geodesic flows on symmetric Riemann spaces
• Unique ergodicity of the horocycle flow: variable negative curvature case
• Minimality of horospherical flows
• Unique ergodicity for horocycle foliations
• DYNAMICAL SYSTEMS ON HOMOGENEOUS SPACES OF SEMISIMPLE LIE GROUPS
• Ergodicity of Flows on Homogeneous Spaces

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