Z^d-actions with prescribed topological and ergodic properties

Details Z^d-actions with prescribed topological and ergodic properties Z^d-actions with prescribed topological and ergodic properties

2009-12-10

arxiv.org/abs/0912.2107v3

Mathematics

Dynamical Systems

19 pages, 1 figure, referee suggestions incorporated, to appear in Ergodic Theory and Dynamical Systems

Scientific paper

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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