Z^d-actions with prescribed topological and ergodic properties
arXiv:0912.2107 · doi:10.1017/S0143385710000908
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.
arXiv comment19 pages, 1 figure, referee suggestions incorporated, to appear in Ergodic Theory and Dynamical Systems