16 citations · 51 across the 58 of their papers we have counts for
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Some problems on measure-preserving transformations
Valery V. Ryzhikov
This text is addressed to students. It is a short story about some problems in ergodic theory, both related and independent. We discuss the factorization of transformations into th…
Markov intertwining operators, joinings, and asymptotic properties of dynamical systems
Valery V. Ryzhikov
This text is written based on the author's publications during the period from 1991 to 2001. The work is devoted to the theory of Markov intertwining operators and joinings of meas…
Bohr chaoticity of topological dynamical systems
Aihua Fan, Shilei Fan, Valery Ryzhikov +1
We introduce the notion of Bohr chaoticity, which is a topological invariant for topological dynamical systems, and which is opposite to the property required by Sarnak's conjectur…
Compact families and typical entropy invariants of measure-preserving actions
Valery V. Ryzhikov
For a compact set of actions, an invariant of Kushnirenko's entropy type is chosen in such a way that on this set it is equal to zero, but will be infinity for typical actions. As…