Scaling limit for a drainage network model
C. F. Coletti, L. R. G. Fontes, and E. S. Dias
Source: J. Appl. Probab. Volume 46, Number 4 (2009), 1184-1197.
Abstract
We consider the two-dimensional version of a drainage network model introduced in Gangopadhyay, Roy and Sarkar (2004), and show that the appropriately rescaled family of its paths converges in distribution to the Brownian web. We do so by verifying the convergence criteria proposed in Fontes, Isopi, Newman and Ravishankar (2002).
Primary Subjects: 60K35, 60K40, 60F17
Keywords: Drainage network; coalescing random walk; Brownian web; coalescing Brownian motion
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jap/1261670696
Digital Object Identifier: doi:10.1239/jap/1261670696
Zentralblatt MATH identifier:
05665463
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Journal of Applied Probability
