2 papers
math.DS2026
Around Kalikow's theorem on multiple mixing
Valery V. Ryzhikov
Some results in ergodic theory on joinings and multiple mixing and the proof of Steve Kalikow's theorem on 3-fold mixing of 2-fold mixing rank one automorphisms are discussed.
math.DS2026
Asymmetry of Entropy Invariants for Generic Mixing -Actions
Mikhail V. Engelgardt, Valery V. Ryzhikov
Suppose that for a mixing -action, , there exists a Kirillov-Kushnirenko entropy that is zero for this action and completely positive for its inverse. We prove that this…