Geodesic
Dislocation measure of the fragmentation of a general Lévy tree
ESAIM: Probability and Statistics, Tome 15 (2011), pp. 372-389

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Given a general critical or sub-critical branching mechanism and its associated Lévy continuum random tree, we consider a pruning procedure on this tree using a Poisson snake. It defines a fragmentation process on the tree. We compute the family of dislocation measures associated with this fragmentation. This work generalizes the work made for a Brownian tree [R. Abraham and L. Serlet, Elect. J. Probab. 7 (2002) 1-15] and for a tree without Brownian part [R. Abraham and J.-F. Delmas, Probab. Th. Rel. Fiel 141 (2008) 113-154].

DOI : 10.1051/ps/2010006
Classification : 60J25, 60G57, 60J80
Keywords: fragmentation, Lévy CRT 
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     author = {Voisin, Guillaume},
     title = {Dislocation measure of the fragmentation of a general {L\'evy} tree},
     journal = {ESAIM: Probability and Statistics},
     pages = {372--389},
     publisher = {EDP-Sciences},
     volume = {15},
     year = {2011},
     doi = {10.1051/ps/2010006},
     mrnumber = {2870521},
     zbl = {1263.60068},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ps/2010006/}
}
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Voisin, Guillaume. Dislocation measure of the fragmentation of a general Lévy tree. ESAIM: Probability and Statistics, Tome 15 (2011), pp. 372-389. doi: 10.1051/ps/2010006

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