The Brownian web: Characterization and convergence

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The 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.
Published 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)

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Probability, 60K35, 60J65, 60F17, 82B41, 60D05 (Primary)

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http://salesiana.dossiersoluciones.com/handle/123456789/69208

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0311254
 http://arxiv.org/abs/math/0311254
 Annals of Probability 2004, Vol. 32, No. 4, 2857-2883
 doi:10.1214/009117904000000568

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arXiv