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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2016 Volume 100, Issue 6, Pages 847–854 (Mi mzm10965)

This article is cited in 5 papers

Weak Closures of Ergodic Actions

A. Yu. Kushnir, V. V. Ryzhikov

Lomonosov Moscow State University

Abstract: In the paper, the semigroup of weak limits of the powers of an infinite transformation of rank one of Chacon type is completely described.

Keywords: rank one transformation, sigma-finite measure, weak closure of an ergodic action.

UDC: 517.987

Received: 08.10.2015

DOI: 10.4213/mzm10965


 English version:
Mathematical Notes, 2017, 101:2, 277–283

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© Steklov Math. Inst. of RAS, 2024