Property of almost independent images for ergodic transformations without partial rigidity

DOI10.1134/S0081543810040048zbMath1302.37003MaRDI QIDQ483146

A. I. Bashtanov

Publication date: 16 December 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25)

Related Items (1)

Conjugacy classes are dense in the space of mixing \(\mathbb{Z}^d\)-actions

Cites Work

• Pairwise \(\varepsilon\)-independence of the sets \(T^iA\) for a mixing transformation \(T\)
• Pointwise theorems for amenable groups.
• Asymptotic behavior to the eigenvalues of the Sturm-Liouville operator problem
• Twofold mixing implies threefold mixing for rank one transformations
• A new class of rank-one transformations with singular spectrum
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