Three Zutot
Dynamical Systems
2012-03-14 v2
Abstract
Three topics in dynamical systems are discussed. In the first two sections we solve some open problems concerning, respectively, Furstenberg entropy of stationary dynamical systems, and uniformly rigid actions admitting a weakly mixing fully supported invariant probability measure. In the third section we provide a new example that displays some unexpected properties of strictly ergodic actions of non-amenable groups.
Cite
@article{arxiv.1102.5754,
title = {Three Zutot},
author = {Eli Glasner and Benjamin Weiss},
journal= {arXiv preprint arXiv:1102.5754},
year = {2012}
}
Comments
The paper has been withdrawn because the statement, in the first zuta,that the product measure \nu_t is stationary is wrong. This means that the proof of the main result of this part, as presented, is not valid