Z^d-actions with prescribed topological and ergodic properties
Dynamical Systems
2020-04-21 v3
Abstract
We extend constructions of Hahn-Katznelson and Pavlov to Z^d-actions on symbolic dynamical spaces with prescribed topological and ergodic properties. More specifically, we describe a method to build Z^d-actions which are (totally) minimal, (totally) strictly ergodic and have positive topological entropy.
Cite
@article{arxiv.0912.2107,
title = {Z^d-actions with prescribed topological and ergodic properties},
author = {Yuri Lima},
journal= {arXiv preprint arXiv:0912.2107},
year = {2020}
}
Comments
19 pages, 1 figure, referee suggestions incorporated, to appear in Ergodic Theory and Dynamical Systems