论文标题
遗传次要缩影，其最大熵的度量没有Gibbs特性
Hereditary subshifts whose measure of maximal entropy has no Gibbs property
论文作者
论文摘要
我们表明，当$ \ mathscr {b} $的遗传封闭术的最大熵度量 - 自由subshift具有Gibbs属性，并且只有当时米尔斯基的米尔斯基度量纯粹是原子化的。这回答了佩克纳问的一个公开问题。此外，我们表明$ \ mathscr {b} $每当相应的米尔斯基度量$ν_η$都具有全部支持时，$都会拉紧。这是凯勒（Keller）最近结果的相反定理。
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 $ν_η$ has full support. This is the converse theorem to a recent result of Keller.
