Simple spectrum of the tensor product of powers of a mixing automorphism

DOI10.1090/S0077-1554-2013-00209-5zbMath1275.37008MaRDI QIDQ2837770

V. V. Ryzhikov

Publication date: 11 July 2013

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

spectrummixingtensor productautomorphism of a lebesgue space

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory of linear operators (47A35) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items

Bounded ergodic constructions, disjointness, and weak limits of powers, Special weak limits and simple spectrum of the tensor products of flows

Cites Work

• The homogeneous spectrum problem in ergodic theory
• Mixing transformations with homogeneous spectrum
• Weak limits of powers, simple spectrum of symmetric products, and rank-one mixing constructions
• Generic Spectral Properties of Measure-Preserving Maps and Applications
• Smorodinsky’s conjecture on rank-one mixing
• Mixing on a class of rank-one transformations
• Stochastic constructions of flows of rank 1