Geodesic
Self-joinings and generic extensions of ergodic systems
Funkcionalʹnyj analiz i ego priloženiâ, Tome 57 (2023) no. 3, pp. 74-88

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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. 
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     title = {Self-joinings and generic extensions of ergodic systems},
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V. V. Ryzhikov. Self-joinings and generic extensions of ergodic systems. Funkcionalʹnyj analiz i ego priloženiâ, Tome 57 (2023) no. 3, pp. 74-88. http://geodesic.mathdoc.fr/item/FAA_2023_57_3_a3/