English

Hereditary subshifts whose simplex of invariant measures is Poulsen

Dynamical Systems 2015-07-03 v1

Abstract

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 B\mathscr{B}-free systems. We also give an example of a positive entropy hereditary system whose simplex of invariant measures is not Poulsen.

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Cite

@article{arxiv.1507.00714,
  title  = {Hereditary subshifts whose simplex of invariant measures is Poulsen},
  author = {Joanna Kułaga-Przymus and Mariusz Lemańczyk and Benjamin Weiss},
  journal= {arXiv preprint arXiv:1507.00714},
  year   = {2015}
}

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10 pages