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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 1992 Volume 183, Number 3, Pages 133–160 (Mi sm1042)

This article is cited in 30 papers

Mixing, rank, and minimal self-joining of actions with an invariant measure

V. V. Ryzhikov


Abstract: It is proved that mixing transformations and flows of rank 1 have mixing of any multiplicity and a minimal self-joining of any order.

UDC: 512.54

MSC: Primary 28D05; Secondary 47A35, 22D40

Received: 28.12.1990


 English version:
Russian Academy of Sciences. Sbornik. Mathematics, 1993, 75:2, 405–427

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© Steklov Math. Inst. of RAS, 2024