Two directed non-planar random networks and their scaling limits

DOI10.1007/s10955-023-03213-4OpenAlexW4389953156MaRDI QIDQ6137769

Rahul K. Roy, Azadeh Parvaneh

Publication date: 16 January 2024

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

Full work available at URL: https://doi.org/10.1007/s10955-023-03213-4

zbMATH Keywords

scaling limitcoalescing random walksBrownian webcoalescence time

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Brownian motion (60J65) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Functional limit theorems; invariance principles (60F17)

Cites Work

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• The 2D-directed spanning forest converges to the Brownian web
• The Brownian net
• Two-dimensional Poisson trees converge to the Brownian web
• A drainage network with dependence and the Brownian web
• Scaling Limit for a Drainage Network Model
• Coalescing directed random walks on the backbone of a 1 +1-dimensional oriented percolation cluster converge to the Brownian web
• The Brownian Web
• A Construction of the Stable Web
• Coalescing Brownian flows: a new approach
• A version of the random directed forest and its convergence to the Brownian web

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