Self-joinings and generic extensions of ergodic systems

2022/10/27 by Ryzhikov, Valery V. · 1 citation
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2210.15276

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.

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