New spectral multiplicities for mixing transformations

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.

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Bibliographic Details
Published in:Ergodic theory and dynamical systems 2012-04, Vol.32 (2), p.517-534
Main Author: DANILENKO, ALEXANDRE I.
Format: Article
Language:English
Subjects:
Coordinate transformations
Dynamical systems
Ergodic processes
Mathematics
Probability
Spectra
Transformations
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Description
Summary: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.
ISSN:0143-3857
1469-4417
DOI:10.1017/S0143385710000672