Minimal Self-Joinings, Bounded Constructions, and Weak Closure of Ergodic Actions
Dynamical Systems
2012-12-13 v2
Abstract
For a weakly mixing bounded rank-one construction the disjointness of its powers is proved. For non-rigid constructions we get minimal self-joinings. Examples of non-mixing rank one actions with explicit weak closure are proposed.
Keywords
Cite
@article{arxiv.1212.2602,
title = {Minimal Self-Joinings, Bounded Constructions, and Weak Closure of Ergodic Actions},
author = {V. V. Ryzhikov},
journal= {arXiv preprint arXiv:1212.2602},
year = {2012}
}
Comments
Ergodic theory