Geodesic
Bounded ergodic constructions, disjointness, and weak limits of powers
Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 74 (2013) no. 1, pp. 201-208

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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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     author = {V. V. Ryzhikov},
     title = {Bounded ergodic constructions, disjointness, and weak limits of powers},
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V. V. Ryzhikov. Bounded ergodic constructions, disjointness, and weak limits of powers. Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 74 (2013) no. 1, pp. 201-208. http://geodesic.mathdoc.fr/item/MMO_2013_74_1_a6/