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February 22, 2026Theory of Probability and Its Applications0 citations

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Multiple Mixing, Local Rank, and Joinings of Automorphisms of a Probability Space

VRV. V. Ryzhikov

Key Points

The aim is to explore unsolved problems regarding multiple mixing and the structure of self-joinings in probability spaces.
Analysis of automorphisms in probability spaces
Examination of local rank and its implications
Discussion of selected unsolved problems
Insights into the structure of self-joinings
Clarifications on the concept of multiple mixing
Connections drawn between local rank and dynamics in probability spaces

Abstract

We discuss selected unsolved problems on multiple mixing, structures of self-joinings, and the local rank of automorphisms of a probability space. For an account of the spectrum and entropy of the dynamical system that we use, see, for example, I. P. Cornfeld, S. V. Fomin, and Ya. G. Sinai, Ergodic Theory, Springer, 1982.

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Cite This Study

V. V. Ryzhikov (Sun,) studied this question.

synapsesocial.com/papers/699a9d14482488d673cd2b67 https://doi.org/https://doi.org/10.1137/s0040585x97t992653

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Multiple Mixing, Local Rank, and Joinings of Automorphisms of a Probability Space | Synapse