Bounded ergodic constructions, disjointness, and weak limits of powers

This paper is devoted to the disjointness property of powers of a totally ergodic bounded construction of rank 1 and some generalizations of this result. We look at applications to the problem when the Möbius function is independent of the sequence induced by a bounded construction.

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Bibliographic Details
Published in:Transactions of the Moscow Mathematical Society 2013, Vol.74, p.165-171
Main Author: Ryzhikov, V. V.
Format: Article
Language:English
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Summary:This paper is devoted to the disjointness property of powers of a totally ergodic bounded construction of rank 1 and some generalizations of this result. We look at applications to the problem when the Möbius function is independent of the sequence induced by a bounded construction.
ISSN:0077-1554
1547-738X
DOI:10.1090/S0077-1554-2014-00214-4