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
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.