Factors, rank, and embedding of a generic $ \mathbb Z^n$-action in an $ \mathbb R^n$-flow

DOI10.1070/RM2006V061N04ABEH004351zbMath1120.37001OpenAlexW180743795MaRDI QIDQ3593724

V. V. Ryzhikov

Publication date: 6 August 2007

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2006v061n04abeh004351

zbMATH Keywords

rigidityweak mixingweak closuregeneric action

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (5)

On some generic classes of ergodic measure preserving transformations ⋮ Compact families and typical entropy invariants of measure-preserving actions ⋮ Lower bound for the supremum of ergodic averages for \(\mathbb{Z}^d\) and \(\mathbb{R}^d\)-actions ⋮ Generic extensions of ergodic systems ⋮ Measure-preserving rank one transformations

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