Valery V. Ryzhikov

works on

ergodic theory 1 joinings 1 Kalikow's theorem 1 multiple mixing 1 rank-one transformations 1

From the 1 of 2 linked papers with an AI index.

collaborators

2 papers

math.DS2026

Around Kalikow's theorem on multiple mixing

Valery V. Ryzhikov

The paper surveys results on joinings and multiple mixing in ergodic theory and provides a proof of Kalikow's theorem that rank‑one automorphisms which are 2‑fold mixing are also 3…

math.DS2026

Asymmetry of Entropy Invariants for Generic Mixing $Z^{n}$ -Actions

Mikhail V. Engelgardt, Valery V. Ryzhikov

Suppose that for a mixing $Z^{n}$ -action, $n > 1$ , there exists a Kirillov-Kushnirenko entropy that is zero for this action and completely positive for its inverse. We prove that this…

Around Kalikow's theorem on multiple mixing

Asymmetry of Entropy Invariants for Generic Mixing Zn-Actions

Asymmetry of Entropy Invariants for Generic Mixing $Z^{n}$ -Actions