Hereditary subshifts whose measure of maximal entropy does not have the Gibbs property

Joanna Kułaga-Przymus, Michał Lemańczyk · Colloquium Mathematicum · 2021

We show that the measure of maximal entropy for the hereditary closure of a $\mathscr {B}$-free subshift has the Gibbs property if and only if the Mirsky measure of the subshift is purely atomic. This answers an open question asked by Peckner. Moreover, w

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