We consider a subshift of finite type on q symbols with a union of t cylinders based at words of identical length p as the hole. We explore the relationship between the escape rate into the hole and a rational function, $r(z)$, of correlations between forbidden words in the subshift with the hole. In particular, we prove that there exists a constant $D(t,p)$ such that if $q>D(t,p)$, then the escape rate is faster into the hole when the value of the corresponding rational function $r(z)$ evaluated at $D(t,p)$ is larger. Further, we consider holes which are unions of cylinders based at words of identical length, having zero cross-correlations, and prove that the escape rate is faster into the hole with larger Poincaré recurrence time. Our results are more general than the existing ones known for maps conjugate to a full shift with a single cylinder as the hole.

我们考虑q 个符号上的有限类型子移位，其中t 个圆柱体的并集基于与孔相同长度p的字。我们探讨了进入洞中的逃逸率与有理函数$r(z)$之间的关系，该函数是子移位中禁止单词与洞之间的相关性。特别地，我们证明存在一个常数$D(t,p)$，如果$q>D(t,p)$ ，那么当相应的有理函数$的值时，进入洞的逃逸速度更快。r(z)$在$D(t,p)$处评估更大。此外，我们考虑了基于相同长度的字的圆柱体并集的空洞，具有零互相关性，并证明了进入具有较大庞加莱递归时间的空洞的逃逸率更快。我们的结果比现有已知的以单个圆柱体作为孔共轭到全位移的地图的结果更通用。