• Bernoulli
  • Volume 23, Number 4A (2017), 2380-2433.

Cutting down $\mathbf{p}$-trees and inhomogeneous continuum random trees

Nicolas Broutin and Minmin Wang

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We study a fragmentation of the $\mathbf{p}$-trees of Camarri and Pitman. We give exact correspondences between the $\mathbf{p}$-trees and trees which encode the fragmentation. We then use these results to study the fragmentation of the inhomogeneous continuum random trees (scaling limits of $\mathbf{p}$-trees) and give distributional correspondences between the initial tree and the tree encoding the fragmentation. The theorems for the inhomogeneous continuum random tree extend previous results by Bertoin and Miermont about the cut tree of the Brownian continuum random tree.

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Bernoulli, Volume 23, Number 4A (2017), 2380-2433.

Received: August 2014
Revised: July 2015
First available in Project Euclid: 9 May 2017

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cut tree inhomogeneous continuum random trees $\mathbf{p}$-tree random cutting


Broutin, Nicolas; Wang, Minmin. Cutting down $\mathbf{p}$-trees and inhomogeneous continuum random trees. Bernoulli 23 (2017), no. 4A, 2380--2433. doi:10.3150/16-BEJ813.

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