2 papers
math.DS2021
Mixing sets for rigid transformations
Valery V. Ryzhikov
For any infinite zero-density integer set M, we found a rigid measure-preserving transformation mixing along M by answering Bergelson's question. Gaussian and Poisson suspensions o…
math.DS2012
On spectral multiplicities {2, 4,..., 2^n} for totally ergodic Z^2-actions
R. A. Konev, V. V. Ryzhikov
For totally ergodic Z^2-actions a collection of weak limits provide the set {2,4, ..., 2 ^ n} of spectral multiplicities for their tensor product. Our conditions allow to obtain a…