Jakub Konieczny, Michal Kupsa, Dominik Kwietniak
Published 2016-10-03Version 1
We show that the set of ergodic invariant measures of a shift space with a safe symbol (this includes all hereditary shifts) is arcwise connected when endowed with the $d$-bar metric. As a consequence the set of ergodic measures of such a shift is also arcwise connected in the weak-star topology and the entropy function over this set attains all values in the interval between zero and the topological entropy of the shift (inclusive).
Expansivity of ergodic measures with positive entropy
On the number of ergodic measures for minimal shifts with eventually constant complexity growth
An adic dynamical system related to the Delannoy numbers
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