A drainage network with dependence and the Brownian web

DOI10.1007/s10955-022-02978-4zbMath1503.60133arXiv2011.00323OpenAlexW3097589245MaRDI QIDQ2674347

Afshin Parvardeh, Azadeh Parvaneh, Rahul K. Roy

Publication date: 12 September 2022

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.00323

zbMATH Keywords

scaling limitMarkov chainrandom walkrandom graphBrownian web

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Brownian motion (60J65) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Random walks on graphs (05C81) Coalescent processes (60J90)

Related Items (1)

Two directed non-planar random networks and their scaling limits

Cites Work

• Random directed forest and the Brownian web
• Convergence to the Brownian web for a generalization of the drainage network model
• Random directed trees and forest -- drainage networks with dependence
• Density and uniqueness in percolation
• The true self-repelling motion
• The Brownian web: characterization and convergence
• Random oriented trees: a model of drainage networks.
• The 2D-directed spanning forest converges to the Brownian web
• Two-dimensional Poisson trees converge to the Brownian web
• Applied Probability and Queues
• The 2D‐directed spanning forest is almost surely a tree
• Collision Times of Random Walks and Applications to the Brownian Web
• The Brownian Web
• Probability
• Unnamed Item

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