16 citations · 51 across the 58 of their papers we have counts for
4 papers · 1 filter
Minimal Self-Joinings, Bounded Constructions, and Weak Closure of Ergodic Actions
V. V. Ryzhikov
For a weakly mixing bounded rank-one construction the disjointness of its powers is proved. For non-rigid constructions we get minimal self-joinings. Examples of non-mixing rank on…
Several questions and hypotheses concerning the limit polynomials for Chacon transformation
A. A. Prikhodko, V. V. Ryzhikov
We study the weak closure of powers of the non-singular Chacon transformation with 2-cuts. This is still an open question does contain any Markov operator except…
Homogeneous spectrum, Disjointness of Convolutions, and Mixing Properties of Dynamical Systems
V. V. Ryzhikov
In connection with Rokhlin's question on an automorphism with a homogeneous nonsimple spectrum, we indicate a class of measure-preserving maps such that has a homog…
On Local Rank, Joinings and Asymptotic Properties of Measure-Preserving Actions
V. V. Ryzhikov
The note contains a collection of facts and observations around locally rank one actions as well as constructions connected with some results by T.Downarowicz, A.Katok, J.King, F.P…