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arXiv · 1301.1637

Ergodic bounded constructions, Disjointness and Weak Limits of Powers

V. V. Ryzhikov
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Abstract

In connection with some recent results by J. Bourgain and H. Abdalaoui, M. Lemanczyk, T. De La Rue (ALR) we present a short proof of Bourgain's theorem on Mobius orthogonality property for bounded rank-one constructions. The proof of the fact (due to ALR) that bounded-recurrent constructions with Markov self-similarity have to be flat-recurrent is simplified as well.(v4 in Russian)

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V. V. Ryzhikov. 2013-04-25. Ergodic bounded constructions, Disjointness and Weak Limits of Powers. https://arxiv.org/abs/1301.1637

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