The Brownian web: Characterization and convergence

dc.creatorFontes, L. R. G.
dc.creatorIsopi, M.
dc.creatorNewman, C. M.
dc.creatorRavishankar, K.
dc.date2003-11-15
dc.date2005-04-06
dc.date.accessioned2026-07-07T05:02:56Z
dc.date.available2026-07-07T05:02:56Z
dc.descriptionThe Brownian web (BW) is the random network formally consisting of the paths of coalescing one-dimensional Brownian motions starting from every space-time point in R\timesR. We extend the earlier work of Arratia and of Toth and Werner by providing a new characterization which is then used to obtain convergence results for the BW distribution, including convergence of the system of all coalescing random walks to the BW under diffusive space-time scaling.
dc.descriptionPublished at http://dx.doi.org/10.1214/009117904000000568 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0311254
dc.identifierhttp://arxiv.org/abs/math/0311254
dc.identifierAnnals of Probability 2004, Vol. 32, No. 4, 2857-2883
dc.identifierdoi:10.1214/009117904000000568
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69208
dc.subjectProbability
dc.subject60K35, 60J65, 60F17, 82B41, 60D05 (Primary)
dc.titleThe Brownian web: Characterization and convergence
dc.typetext

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