Tensor roots of isomorphisms and weak limits of transformations

DOI10.1007/s11006-006-0175-7zbMath1130.37308OpenAlexW1965688800MaRDI QIDQ881145

V. V. Ryzhikov, A. E. Troitskaya

Publication date: 21 May 2007

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-006-0175-7

zbMATH Keywords

weak convergenceergodic dynamical systemLebesgue measureprobabilistic spaceCartesian product of automorphismsweakly mixing automorphism

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) General groups of measure-preserving transformations (28D15) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (2)

On isomorphy of measure-preserving \(\mathbb Z^2\)-actions that have isomorphic Cartesian powers ⋮ A note on the isomorphism of Cartesian products of ergodic flows

Cites Work

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• The isomorphism of measure-preserving transformations with isomorphic Cartesian powers is typical
• A survey of recent results in the spectral theory of ergodic dynamical systems
• Disjointness of the convolutionsfor Chacon's automorphism
• Non-unique inclusion in a flow and vast centralizer of a generic measure-preserving transformation

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