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Preprints, Working Papers, ... Year : 2022

Pruning, cut trees, and the reconstruction problem

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. 5, 2000] 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.

Dates and versions

hal-03830029 , version 1 (26-10-2022)

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Nicolas Broutin, Hui He, Minmin Wang. Pruning, cut trees, and the reconstruction problem. 2022. ⟨hal-03830029⟩
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