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arXiv:1507.00714 [math.DS]AbstractReferencesReviewsResources

Hereditary subshifts whose simplex of invariant measures is Poulsen

Joanna Kułaga-Przymus, Mariusz Lemańczyk, Benjamin Weiss

Published 2015-07-02Version 1

We give a sufficient condition for the simplex of invariant measures for a hereditary system to be Poulsen. In particular, we show that this simplex is Poulsen in case of positive entropy $\mathscr{B}$-free systems. We also give an example of a positive entropy hereditary system whose simplex of invariant measures is not Poulsen.

Comments: 10 pages
Categories: math.DS
Subjects: 37B10, 37A35
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