This article is cited in 2 papers

Rigidity of Actions with Extreme Deviation from Multiple Mixing

S. V. Tikhonov

Plekhanov Russian State University of Economics, Moscow

Abstract: We introduce a class of systems, including Ledrappier's example, which do not have multiple mixing. A classification of such systems for 2D lattice actions is constructed.

Keywords: measure-preserving transformation, dynamical system, multiple mixing, Ledrappier's example.

UDC: 517.987

Received: 16.01.2017
Revised: 12.10.2017

DOI: 10.4213/mzm11743

 English version: Mathematical Notes, 2018, 103:6, 977–989

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