Zero-Entropy Affine Maps on Homogeneous Spaces

DOI10.2307/2374495zbMath0653.22005OpenAlexW1985415420MaRDI QIDQ3798896

Dave Witte Morris

Publication date: 1987

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

Full work available at URL: https://semanticscholar.org/paper/50b3646cf2d08a81f15a92d46fffb6a51ac8cd7d

zbMATH Keywords

zero entropyBorel mapclosed subgroups of Lie groupsconjugacy of measure-preserving maps on homogeneous spacesergodic unipotent affine mapsunipotent linear transformation

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Harmonic analysis on homogeneous spaces (43A85) Ergodic theory on groups (22D40) Analysis on real and complex Lie groups (22E30) Dynamics induced by flows and semiflows (37C10)

Related Items (15)

Möbius disjointness for homogeneous dynamics ⋮ Infinite approximate subgroups of soluble Lie groups ⋮ Raghunathan's conjectures for Cartesian products of real and \(p\)-adic Lie groups ⋮ On de Rham and Dolbeault cohomology of solvmanifolds ⋮ Superrigidity of lattices in solvable Lie groups ⋮ Geometrically finite groups, Patterson-Sullivan measures and Ratner's rigidity theorem ⋮ Mutual isomorphisms of translations of a homogeneous flow ⋮ Minimal sets of homogeneous flows ⋮ Time change for unipotent flows and rigidity ⋮ On isospectral locally symmetric spaces and a theorem of von Neumann ⋮ On measure rigidity of unipotent subgroups of semisimple groups ⋮ Minimality and unique ergodicity of homogeneous actions ⋮ Rigidity of horospherical foliations ⋮ Measurable Quotients of Unipotent Translations on Homogeneous Spaces ⋮ Raghunathan's topological conjecture and distributions of unipotent flows

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