Thouvenot's isomorphism problem for tensor powers of ergodic flows

DOI10.1134/S0001434618110330zbMath1408.37004OpenAlexW2908102203MaRDI QIDQ668320

V. V. Ryzhikov

Publication date: 19 March 2019

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

Full work available at URL: https://doi.org/10.1134/s0001434618110330

zbMATH Keywords

weak closureflow with invariant measuremetric isomorphismtensor power of a dynamical system

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15)

Related Items (1)

Measure-preserving rank one transformations

Cites Work

• On isomorphy of measure-preserving \(\mathbb Z^2\)-actions that have isomorphic Cartesian powers
• On the centralizer of an infinite mixing rank-one transformation
• The isomorphism of measure-preserving transformations with isomorphic Cartesian powers is typical
• Minimal self-joinings of infinite mixing actions of rank 1
• A note on the isomorphism of Cartesian products of ergodic flows
• Generic mixing transformations are rank 1
• On the asymmetry of multiple asymptotic properties of ergodic actions
• Weak closures of ergodic actions
• Nondegenerate saddles and nonmixing transformations. II
• Finite ergodic index and asymmetry for infinite measure preserving actions
• Special weak limits and simple spectrum of the tensor products of flows
• Embedding lattice actions in flows with multidimensional time

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