论文标题
不是吉布斯的平衡状态
Equilibrium states which are not Gibbs measure on hereditary subshifts
论文作者
论文摘要
在本文中，我们考虑了遗传次要换档的哪种不变措施不是吉布斯的量度。对于遗传封闭$（x，s）$，我们证明，在某些情况下，不变的度量$ν*b_ {p，1-p} $不能是gibbs量度，其中$ν$是$（x，s）$的不变度量。作为一个应用程序，我们表明，对于某些$ \ b $ free子迁移，唯一的平衡状态$ν_η*b_ {p，1-p} $不是gibbs度量。
In this paper, we consider which kind of invariant measure on hereditary subshifts is not Gibbs measure. For the hereditary closure of a subshift $(X,S)$, we prove that in some situation, the invariant measure $ν*B_{p,1-p}$ can not be a Gibbs measure where $ν$ is an invariant measure on $(X,S)$. As an application, we show that for some $\B$-free subshifts, the unique equilibrium state $ν_η*B_{p,1-p}$ is not Gibbs measure.
