Scaling limit for a drainage network model
Probability
2008-09-23 v1
Abstract
We consider the two dimensional version of a drainage network model introduced by Gangopadhyay, Roy and Sarkar, 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 by Fontes, Isopi, Newman and Ravishankar.
Cite
@article{arxiv.0809.3454,
title = {Scaling limit for a drainage network model},
author = {C. F. Coletti and E. S. Dias and L. R. G. Fontes},
journal= {arXiv preprint arXiv:0809.3454},
year = {2008}
}
Comments
15 pages