Let denote the uniform probability measure on the set of separable permutations in S_n. Let with an appropriate metric and denote by the compact metric space consisting of functions from to which are injections when restricted to ; that is, if , i ≠ j, then . Extending permutations by defining , for j > n, we have . We show that converges weakly on to a limiting distribution of regenerative type, which we calculate explicitly.

中文翻译：

---

可分离排列的无限极限

让表示S _n中可分离排列集上的统一概率测度。让与由适当的度量，并且表示包括功能的紧凑度量空间从到时限制到其是注射剂; 也就是说，如果，i  ≠  j，则。 通过定义扩展排列，对于j  >  n，我们有。我们表明，它弱收敛于我们明确计算的再生类型的极限分布。