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New spectral multiplicities for mixing transformations

Published online by Cambridge University Press:  14 March 2011

ALEXANDRE I. DANILENKO
ALEXANDRE I. DANILENKO*
Affiliation:
Institute for Low Temperature Physics and Engineering of Ukrainian National Academy of Sciences, 47 Lenin Avenue, Kharkov, 61164, Ukraine (email: alexandre.danilenko@gmail.com)
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Abstract

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It is shown that if E is a subset of $\Bbb N$ such that 1∈E or 2∈E then there is a mixing transformation whose set of spectral multiplicities is E.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 32 , Issue 2: Daniel J. Rudolph – in Memoriam , April 2012, pp. 517 - 534
Copyright
Copyright © Cambridge University Press 2011

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