Bounded ergodic constructions, disjointness, and weak limits of powers

Ryzhikov, V.

doi:10.1090/S0077-1554-2014-00214-4

Bounded ergodic constructions, disjointness, and weak limits of powers
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by V. V. Ryzhikov
Translated by: E. Khukhro

Trans. Moscow Math. Soc. 2013, 165-171

DOI: https://doi.org/10.1090/S0077-1554-2014-00214-4

Published electronically: April 9, 2014

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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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