The study discusses problems related to mixing and automorphisms in probability spaces, suggesting implications for dynamical systems.
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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V. V. Ryzhikov (2026) studied this question.
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