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arXiv · 0912.2107

Z^d-actions with prescribed topological and ergodic properties

Yuri Lima
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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.

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Yuri Lima. 2009-12-10. Z^d-actions with prescribed topological and ergodic properties. https://doi.org/10.1017/s0143385710000908

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