English

Multiple mixing, 75 years of Rokhlin's problem

Dynamical Systems 2024-11-13 v2

Abstract

In 1949, V.A. Rokhlin introduced new invariants for measure-preserving transformations, called k-fold mixing. Does mixing imply k-fold mixing? -- this problem remains open. We recall shortly some results and discuss related problems.

Cite

@article{arxiv.2411.07234,
  title  = {Multiple mixing, 75 years of Rokhlin's problem},
  author = {Valery V. Ryzhikov},
  journal= {arXiv preprint arXiv:2411.07234},
  year   = {2024}
}
R2 v1 2026-06-28T19:55:55.423Z