Z^d-actions with prescribed topological and ergodic properties

Yuri Lima
Arxiv ID: 0912.2107Last updated: 4/21/2020
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.

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