Self-joinings and generic extensions of ergodic systems
Dynamical Systems
2023-03-07 v3
Abstract
We show that typical extensions of ergodic systems inherit the triviality of pairwise independent self-joinings. This property (introduced by A. del Junco and D. Rudolph) is related with Rokhlin's famous multiple mixing problem and several questions from joining theory.
Keywords
Cite
@article{arxiv.2210.15276,
title = {Self-joinings and generic extensions of ergodic systems},
author = {Valery V. Ryzhikov},
journal= {arXiv preprint arXiv:2210.15276},
year = {2023}
}
Comments
in Russian language