Hereditary subshifts whose simplex of invariant measures is Poulsen

Joanna Ku̷laga-Przymus; Mariusz Lemańczyk; Benjamin Weiss

doi:10.1090/conm/678/13651

Hereditary subshifts whose simplex of invariant measures is Poulsen

Joanna Ku̷laga-Przymus, Mariusz Lemańczyk, Benjamin Weiss

Einstein Institute of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

7 Scopus citations

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

Original language	English
Title of host publication	Contemporary Mathematics
Publisher	American Mathematical Society
Pages	245-253
Number of pages	9
DOIs	https://doi.org/10.1090/conm/678/13651
State	Published - 2016

Publication series

Name	Contemporary Mathematics
Volume	678
ISSN (Print)	0271-4132
ISSN (Electronic)	1098-3627

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© 2016 American Mathematical Society.

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10.1090/conm/678/13651

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Hereditary subshifts whose simplex of invariant measures is Poulsen

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