论文标题
有限类型的扰动subfrifts
Perturbing Subshifts of Finite Type
论文作者
论文摘要
给定SFT $σ$和有限单词的有限套$ s $，令$σ\ langle s \ rangle $表示避免$ s $的$σ$的子缩影。我们建立了一个通用标准，根据该标准，我们可以从上面绑定熵扰动$ h（σ\ langle s \ rangle）$。作为一个应用程序，我们证明，在$ s_i $的各个假设下，此类零差趋于零，以$ s_1，s_2，\ dots $为零。
Given an SFT $Σ$ and a finite set $S$ of finite words, let $Σ\langle S\rangle$ denote the subshift of $Σ$ that avoids $S$. We establish a general criterion under which we can bound the entropy perturbation $h(Σ)-h(Σ\langle S\rangle)$ from above. As an application, we prove that this entropy difference tends to zero with a sequence of such sets $S_1, S_2, \dots$ under various assumptions on the $S_i$.
