Pruning, cut trees, and the reconstruction problem
Probability
2023-02-03 v3
Abstract
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 L\'evy trees as well.
Cite
@article{arxiv.2210.13948,
title = {Pruning, cut trees, and the reconstruction problem},
author = {Nicolas Broutin and Hui He and Minmin Wang},
journal= {arXiv preprint arXiv:2210.13948},
year = {2023}
}