Around Kalikow's theorem on multiple mixing

Valery V. Ryzhikov

Around Kalikow's theorem on multiple mixing

Dynamical Systems 2026-07-13 v1

Authors: Valery V. Ryzhikov

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.

Keywords

lifting schemes spectral schemes delta-structures descent properties number rings group schemes

Cite

@article{arxiv.2607.11852,
  title  = {Around Kalikow's theorem on multiple mixing},
  author = {Valery V. Ryzhikov},
  journal= {arXiv preprint arXiv:2607.11852},
  year   = {2026}
}