We prove local convergence results for rerooted conditioned multi-type Galton–Watson trees. The limit objects are multitype variants of the random sin-tree constructed by Aldous (1991), and differ according to which types recur infinitely often along the backwards growing spine.

中文翻译：

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重生多类型分支树：无限脊柱案例

我们证明了重新植根的条件化多类型高尔顿-沃森树的局部收敛结果。极限对象是Aldous（1991）构造的随机sin-tree的多类型变体，并且根据哪种类型经常沿向后生长的脊椎无限重复地出现而不同。