This article is cited in 16 papers

Mixing transformations with homogeneous spectrum

S. V. Tikhonov

Russian State University of Trade and Economics

Abstract: In the paper, the existence of mixing measure-preserving transformations with homogeneous spectrum of arbitrary multiplicity is proved.
Bibliography: 20 titles.

Keywords: homogeneous spectrum, mixing transformations, actions by measure-preserving transformations.

UDC: 517.987

MSC: Primary 37A25; Secondary 37A30

Received: 08.06.2010 and 15.12.2010

DOI: 10.4213/sm7749

 English version: Sbornik: Mathematics, 2011, 202:8, 1231–1252

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