Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hereditary subshifts whose measure of maximal entropy has no Gibbs
  property   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, we show that $\mathscr{B}$ is taut whenever the
corresponding Mirsky measure $\nu_\eta$ has full support. This is the converse
theorem to a recent result of Keller.

17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex