Scaling Limit for a Drainage Network Model

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,...

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Bibliographic Details
Published in:Journal of applied probability 2009-12, Vol.46 (4), p.1184-1197
Main Authors: Coletti, C. F., Fontes, L. R. G., Dias, E. S.
Format: Article
Language:English
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Summary: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).
ISSN:0021-9002
1475-6072
DOI:10.1017/S0021900200006215