Around Kalikow's theorem on multiple mixing
arXiv:2607.11852
summary
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‑fold mixing.
Abstract
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.
Topics & keywords
#ergodic theory#joinings#multiple mixing#rank-one transformations#Kalikow's theoremKalikow's theorem3-fold mixing2-fold mixingrank-one automorphismjoiningsmultiple mixing