论文标题

修剪,砍伐树木和重建问题

Pruning, cut trees, and the reconstruction problem

论文作者

Broutin, Nicolas, He, Hui, Wang, Minmin

论文摘要

我们考虑修剪不均匀的连续树随机树,以及编码修剪带来的碎片家谱的切割树。我们提出了一种解决重建问题的新方法,该方法已在[Electron中都接受过Brownian CRT的处理。 J. Probab。卷。 22,2017]以及[Ann。 IHP B,第55卷,2019年]。我们的方法不依赖于自相似性,并且也可能适用于一般的莱维树。

We consider a pruning of the inhomogeneous continuum random trees, as well as the cut trees that encode the genealogies of the fragmentations that come with the pruning. We propose a new approach to the reconstruction problem, which has been treated for the Brownian CRT in [Electron. J. Probab. vol. 22, 2017] and for the stable trees in [Ann. IHP B, vol 55, 2019]. Our approach does not rely upon self-similarity and can potentially apply to general Lévy trees as well.

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