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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive

Funktsional. Anal. i Prilozhen., 2023 Volume 57, Issue 3, Pages 74–88 (Mi faa4066)

This article is cited in 1 paper

Self-joinings and generic extensions of ergodic systems

V. V. Ryzhikov

Lomonosov Moscow State University

Abstract: It is proved that the generic extensions of a dynamical system inherit the triviality of pairwise independent self-joinings. This property is related to well-known problems of joining theory and to Rokhlin's famous multiple mixing problem.

Keywords: pairwise independent joinings, local rigidity of cocycles, generic extensions of actions, relative multiple mixing.

Received: 02.11.2022
Revised: 04.03.2023
Accepted: 02.04.2023

DOI: 10.4213/faa4066


 English version:
Functional Analysis and Its Applications, 2023, 57:3, 236–247

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© Steklov Math. Inst. of RAS, 2024