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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Coletti, Cristian [1] ; Valle, Glauco [2]
Total Authors: 2
Affiliation:
[1] UFABC, Ctr Matemat Comp & Cognicao, Sao Paulo - Brazil
[2] Univ Fed Rio de Janeiro, Dept Metodos Estatist, Inst Matemat, BR-21945970 Rio de Janeiro - Brazil
Total Affiliations: 2
Document type: Journal article
Source: ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES; v. 50, n. 3, p. 899-919, AUG 2014.
Web of Science Citations: 1
Abstract

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. (AU)

FAPESP's process: 09/52379-8 - Stochastic modeling of interacting systems
Grantee:Fabio Prates Machado
Support Opportunities: Research Projects - Thematic Grants