Generic behavior of a measure-preserving transformation

DOI10.1017/ETDS.2018.62zbMath1480.37003arXiv1711.08703OpenAlexW2963251693MaRDI QIDQ5220079

Mahmood Etedadialiabadi

Publication date: 10 March 2020

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.08703

zbMATH Keywords

measure-preserving mapsorthogonality conditions

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) General groups of measure-preserving transformations (28D15) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (2)

The spectral form of Koopman representations of the group of measurable functions with values in the circle ⋮ Generic measure preserving transformations and the closed groups they generate

Cites Work

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• Generic representations of abelian groups and extreme amenability
• Unitary representations of the groups of measurable and continuous functions with values in the circle
• SPECTRAL PROPERTIES OF GENERIC DYNAMICAL SYSTEMS
• Generic Spectral Properties of Measure-Preserving Maps and Applications
• The generic transformation has roots of all orders
• Closed subgroups generated by generic measure automorphisms
• Spatial and non-spatial actions of Polish groups

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