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Reversing the cut tree of the Brownian continuum random tree
journal contribution
posted on 2023-06-09, 16:49 authored by Nicolas Broutin, Minmin WangMinmin WangConsider 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}).
History
Publication status
- Published
File Version
- Published version
Journal
Electronic Journal of ProbabilityISSN
1083-6489Publisher
Institute of Mathematical StatisticsExternal DOI
Issue
80Volume
22Page range
1-23Department affiliated with
- Mathematics Publications
Research groups affiliated with
- Probability and Statistics Research Group Publications
Full text available
- Yes
Peer reviewed?
- Yes