# Dislocation measure of the fragmentation of a general Lévy tree

ESAIM: Probability and Statistics (2012)

- Volume: 15, page 372-389
- ISSN: 1292-8100

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topVoisin, Guillaume. "Dislocation measure of the fragmentation of a general Lévy tree." ESAIM: Probability and Statistics 15 (2012): 372-389. <http://eudml.org/doc/222455>.

@article{Voisin2012,

abstract = {
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. Fiel141 (2008) 113–154].
},

author = {Voisin, Guillaume},

journal = {ESAIM: Probability and Statistics},

keywords = {Fragmentation; Lévy CRT; fragmentation},

language = {eng},

month = {1},

pages = {372-389},

publisher = {EDP Sciences},

title = {Dislocation measure of the fragmentation of a general Lévy tree},

url = {http://eudml.org/doc/222455},

volume = {15},

year = {2012},

}

TY - JOUR

AU - Voisin, Guillaume

TI - Dislocation measure of the fragmentation of a general Lévy tree

JO - ESAIM: Probability and Statistics

DA - 2012/1//

PB - EDP Sciences

VL - 15

SP - 372

EP - 389

AB -
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. Fiel141 (2008) 113–154].

LA - eng

KW - Fragmentation; Lévy CRT; fragmentation

UR - http://eudml.org/doc/222455

ER -

## References

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