Convergence to the brownian Web for a generalization of the drainage network model

Cristian Coletti; Glauco Valle

Annales de l'I.H.P. Probabilités et statistiques (2014)

  • Volume: 50, Issue: 3, page 899-919
  • ISSN: 0246-0203

Abstract

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We introduce a system of one-dimensional coalescing nonsimple random walks with long range jumps allowing paths that can cross each other and are dependent even before coalescence. We show that under diffusive scaling this system converges in distribution to the Brownian Web.

How to cite

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Coletti, Cristian, and Valle, Glauco. "Convergence to the brownian Web for a generalization of the drainage network model." Annales de l'I.H.P. Probabilités et statistiques 50.3 (2014): 899-919. <http://eudml.org/doc/271992>.

@article{Coletti2014,
abstract = {We introduce a system of one-dimensional coalescing nonsimple random walks with long range jumps allowing paths that can cross each other and are dependent even before coalescence. We show that under diffusive scaling this system converges in distribution to the Brownian Web.},
author = {Coletti, Cristian, Valle, Glauco},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {brownian web; coalescing brownian motions; coalescing random walks; drainage network; scaling limit; invariance principle; interacting particle systems; Brownian web; coalescing Brownian motions},
language = {eng},
number = {3},
pages = {899-919},
publisher = {Gauthier-Villars},
title = {Convergence to the brownian Web for a generalization of the drainage network model},
url = {http://eudml.org/doc/271992},
volume = {50},
year = {2014},
}

TY - JOUR
AU - Coletti, Cristian
AU - Valle, Glauco
TI - Convergence to the brownian Web for a generalization of the drainage network model
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2014
PB - Gauthier-Villars
VL - 50
IS - 3
SP - 899
EP - 919
AB - We introduce a system of one-dimensional coalescing nonsimple random walks with long range jumps allowing paths that can cross each other and are dependent even before coalescence. We show that under diffusive scaling this system converges in distribution to the Brownian Web.
LA - eng
KW - brownian web; coalescing brownian motions; coalescing random walks; drainage network; scaling limit; invariance principle; interacting particle systems; Brownian web; coalescing Brownian motions
UR - http://eudml.org/doc/271992
ER -

References

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