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Transactions of the Moscow Mathematical Society

ISSN 1547-738X(online) ISSN 0077-1554(print)

   
 

 

Bounded ergodic constructions, disjointness, and weak limits of powers


Author: V. V. Ryzhikov
Translated by: E. Khukhro
Original publication: Trudy Moskovskogo Matematicheskogo Obshchestva, tom 74 (2013), vypusk 1.
Journal: Trans. Moscow Math. Soc. 2013, 165-171
MSC (2010): Primary 28D05; Secondary 58F11
Published electronically: April 9, 2014
MathSciNet review: 3235793
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Abstract: 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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Additional Information

V. V. Ryzhikov
Affiliation: Moscow State University
Email: vryzh@mail.ru

DOI: https://doi.org/10.1090/S0077-1554-2014-00214-4
Keywords: Ergodic power of a transformation, construction of rank one, disjointness of dynamical systems, M\"obius function.
Published electronically: April 9, 2014
Additional Notes: This research was supported by the grant NSh-5998.2012.1.
Article copyright: © Copyright 2014 V. V. Ryzhikov