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Z^d-actions with prescribed topological and ergodic properties

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.Comment: 19 pages, 1 figure, referee suggestions incorporated, to appear in Ergodic Theory and Dynamical System

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