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Cutting down p-trees and inhomogeneous continuum random trees

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posted on 2023-06-09, 16:49 authored by Nicolas Broutin, Minmin WangMinmin Wang
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.

History

Publication status

  • Published

File Version

  • Accepted version

Journal

Bernoulli

ISSN

1350-7265

Publisher

Bernoulli Society for Mathematical Statistics and Probability

Issue

4A

Volume

23

Page range

2380-2433

Department affiliated with

  • Mathematics Publications

Research groups affiliated with

  • Probability and Statistics Research Group Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2019-02-11

First Open Access (FOA) Date

2019-02-11

First Compliant Deposit (FCD) Date

2019-02-10

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