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Pruning a Lévy Continuum Random Tree

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Pruning a Lévy Continuum Random Tree
2.	Creator	Author's name, affiliation, country	Romain Abraham; Université Orléans; France
2.	Creator	Author's name, affiliation, country	Jean-François Delmas; École des Ponts and Université Paris-Est; France
2.	Creator	Author's name, affiliation, country	Guillaume Voisin; Université Orléans; France
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	continuum random tree, Lévy snake, special Markov property
3.	Subject	Subject classification	60J25, 60G57, 60J80
4.	Description	Abstract	Given a general critical or sub-critical branching mechanism, we define a pruning procedure of the associated Lévy continuum random tree. This pruning procedure is defined by adding some marks on the tree, using L'evy snake techniques. We then prove that the resulting sub-tree after pruning is still a L'evy continuum random tree. This last result is proved using the exploration process that codes the CRT, a special Markov property and martingale problems for exploration processes. We finally give the joint law under the excursion measure of the lengths of the excursions of the initial exploration process and the pruned one.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	ANR-08-BLAN-0190
7.	Date	(YYYY-MM-DD)	2010-09-27
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ejp.ejpecp.org/article/view/802
10.	Identifier	Digital Object Identifier	10.1214/EJP.v15-802
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 15
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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