Ergodic bounded constructions, Disjointness and Weak Limits of Powers
Dynamical Systems
2013-04-26 v4
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)
Cite
@article{arxiv.1301.1637,
title = {Ergodic bounded constructions, Disjointness and Weak Limits of Powers},
author = {V. V. Ryzhikov},
journal= {arXiv preprint arXiv:1301.1637},
year = {2013}
}
Comments
ergodic theory, lecture notes in Russian