Mixing of all orders of Lie groups actions

DOI10.1007/BF01231889zbMath0783.28011WikidataQ115393811 ScholiaQ115393811MaRDI QIDQ1187485

Shahar Mozes

Publication date: 22 July 1992

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143965

zbMATH Keywords

mixingLie group actionsergodic measure- preserving actionhigher-order-mixingweakly measurable actions

Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15) Lie groups (22E99)

Related Items

Möbius disjointness for homogeneous dynamics ⋮ Actions of Cartan subgroups ⋮ Effective decay of multiple correlations in semidirect product actions ⋮ A violation of multiple mixing close to an extremal ⋮ Mutual isomorphisms of translations of a homogeneous flow ⋮ Quantitative multiple mixing ⋮ Book Review: The ergodic theory of lattice subgroups ⋮ Multiple mixing for adele groups and rational points ⋮ Mixing properties of commuting nilmanifold automorphisms ⋮ Higher Order Correlations for Group Actions ⋮ Stochastic intertwinings and multiple mixing of dynamical systems ⋮ Around simple dynamical systems. Induced joinings and multiple mixing ⋮ Central limit theorem and cohomological equation on homogeneous spaces ⋮ Pointwise equidistribution and translates of measures on homogeneous spaces ⋮ Parabolic perturbations of unipotent flows on compact quotients of \(\mathrm{SL}(3,\mathbb{R})\)

Cites Work

• Measurable group actions are essentially Borel actions
• The horocycle flow is mixing of all degrees
• Geodesic flows are Bernoullian
• Groups of Automorphisms of Borel Spaces
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