Cutting down p-trees and inhomogeneous continuum random trees

Broutin, Nicolas and Wang, Minmin (2017) Cutting down p-trees and inhomogeneous continuum random trees. Bernoulli, 23 (4A). pp. 2380-2433. ISSN 1350-7265

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Abstract

We study a fragmentation of the p-trees of Camarri and Pitman. We give exact correspondences between the 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 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.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Research Centres and Groups: Probability and Statistics Research Group
Depositing User: Minmin Wang
Date Deposited: 11 Feb 2019 15:01
Last Modified: 02 Jul 2019 13:02
URI: http://sro.sussex.ac.uk/id/eprint/81893

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