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Branch merging on continuum trees with applications to regenerative tree growth

Abstract:

We introduce a family of branch merging operations on continuum trees and show that Ford CRTs are distributionally invariant. This operation is new even in the special case of the Brownian CRT, which we explore in more detail. The operations are based on spinal decompositions and a regenerativity preservingmerging procedure of (α; θ)-strings of beads, that is, random intervals [0; Lα;θ] equipped with a random discrete measure dL^-1 arising in the limit of ordered (α; θ)-Chinese restaurant pro...

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Publication status:
Published
Peer review status:
Peer reviewed

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Institution:
University of Oxford
Division:
MPLS
Department:
Statistics
Role:
Author
More from this funder
Name:
Engineering and Physical Sciences Research Council
Funding agency for:
Rembart, F
Grant:
EP/P505666/1
Publisher:
Instituto Nacional de Matemática Pura e Aplicada
Journal:
Latin American Journal of Probability and Mathematical Statistics More from this journal
Publication date:
2016-06-01
Acceptance date:
2016-04-25
ISSN:
1980-0436
Keywords:
Pubs id:
pubs:633422
UUID:
uuid:f8fed37a-27a5-462b-9fd0-181f5019c890
Local pid:
pubs:633422
Source identifiers:
633422
Deposit date:
2016-07-12

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