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.
Key words and phrases:
ergodic power of a transformation; construction of rank one; disjointness of dynamical systems; Möbius function.
This publication is cited in the following 9 articles:
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Chaika J., Kra B., “A Prime System With Many Self-Joinings”, J. Mod. Dyn., 17 (2021), 213–265
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M. S. Lobanov, V. V. Ryzhikov, “Special weak limits and simple spectrum of the
tensor products of flows”, Sb. Math., 209:5 (2018), 660–671
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V. V. Ryzhikov, “On the Asymmetry of Multiple Asymptotic Properties of Ergodic Actions”, Math. Notes, 96:3 (2014), 416–422