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Limiting laws of supercritical branching random walks

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Date
2012
Alternative titles
Lois limites de marches aléatoires de branchement supercritiques
Link to item file
http://hal.archives-ouvertes.fr/hal-00682212
Dewey
Probabilités et mathématiques appliquées
Sujet
supercritical; branching random walk
Journal issue
Comptes Rendus Mathematique
Volume
350
Number
9-10
Publication date
2012
Article pages
535-538
Publisher
Elsevier
DOI
http://dx.doi.org/10.1016/j.crma.2012.05.013
URI
https://basepub.dauphine.fr/handle/123456789/8605
Collections
  • CEREMADE : Publications
Metadata
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Author
Vargas, Vincent
Rhodes, Rémi
Barral, Julien
Type
Article accepté pour publication ou publié
Abstract (EN)
In this note, we make explicit the law of the renormalized supercritical branching random walk, giving credit to a conjecture formulated in a previous works of the authors for a continuous analog of the branching random walk. In particular, we express the law of the corresponding limiting renormalized Gibbs measures, confirming, in this discrete model, conjectures formulated by physicists about the Poisson-Dirichlet nature of the jumps in the limit.

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