Convergence to the Brownian web for a generalization of the drainage network model

DOI10.1214/13-AIHP544zbMath1296.60080arXiv1109.3517MaRDI QIDQ405498

Glauco Valle, Cristian F. Coletti

Publication date: 5 September 2014

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.3517

zbMATH Keywords

scaling limitinvariance principlecoalescing random walksinteracting particle systemsBrownian webcoalescing Brownian motionsdrainage network

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Functional limit theorems; invariance principles (60F17)

Related Items (7)

Scaling limit for a family of coalescing radial random paths absorbed at the origin ⋮ Directed, cylindric and radial Brownian webs ⋮ A drainage network with dependence and the Brownian web ⋮ Transmission and navigation on disordered lattice networks, directed spanning forests and Brownian web ⋮ Two directed non-planar random networks and their scaling limits ⋮ A version of the random directed forest and its convergence to the Brownian web ⋮ The 2D-directed spanning forest converges to the Brownian web

Cites Work

• Brownian web in the scaling limit of supercritical oriented percolation in dimension \(1 + 1\)
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• Convergence of coalescing nonsimple random walks to the Brownian web
• The Brownian web: characterization and convergence
• Random oriented trees: a model of drainage networks.
• The Brownian net
• Coarsening, nucleation, and the marked Brownian web
• Two-dimensional Poisson trees converge to the Brownian web
• Scaling Limit for a Drainage Network Model
• The Brownian Web
• Probability

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