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Reversing the cut tree of the Brownian continuum random tree

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posted on 2023-06-09, 16:49 authored by Nicolas Broutin, Minmin WangMinmin Wang
Consider the Aldous–Pitman fragmentation process of a Brownian continuum random tree T^{br}. The associated cut tree cut(T^{br}), introduced by Bertoin and Miermont, is defined in a measurable way from the fragmentation process, describing the genealogy of the fragmentation, and is itself distributed as a Brownian CRT. In this work, we introduce a shuffle transform, which can be considered as the reverse of the map taking T br to cut(T^{br}).

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Publication status

  • Published

File Version

  • Published version

Journal

Electronic Journal of Probability

ISSN

1083-6489

Publisher

Institute of Mathematical Statistics

Issue

80

Volume

22

Page range

1-23

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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