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This article is cited in 23 scientific papers (total in 23 papers)
Brief communications
Disjointness, Divisibility, and Quasi-Simplicity of Measure-Preserving Actions
V. V. Ryzhikova, J.-P. Thouvenotb a M. V. Lomonosov Moscow State University
b Université Pierre & Marie Curie, Paris VI
Abstract:
For weakly mixing flows, quasi-simplicity of order $2$ implies quasi-simplicity of all orders. A uniformly divisible automorphism and a $2$-quasi-simple automorphism are disjoint.
Keywords:
weakly mixing flow, divisible ergodic system, quasi-simplicity, disjointness, pairwise independent joinings.
Received: 17.02.2005
Citation:
V. V. Ryzhikov, J. Thouvenot, “Disjointness, Divisibility, and Quasi-Simplicity of Measure-Preserving Actions”, Funktsional. Anal. i Prilozhen., 40:3 (2006), 85–89; Funct. Anal. Appl., 40:3 (2006), 237–240
Linking options:
https://www.mathnet.ru/eng/faa749https://doi.org/10.4213/faa749 https://www.mathnet.ru/eng/faa/v40/i3/p85
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