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arxiv: 0809.3454 · v1 · submitted 2008-09-19 · 🧮 math.PR

Scaling limit for a drainage network model

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keywords drainagemodelnetworkappropriatelybrownianconsiderconvergenceconverges
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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.

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