Random oriented trees: a model of drainage networks.

DOI10.1214/105051604000000288zbMath1047.60098arXivmath/0407118OpenAlexW3099112887MaRDI QIDQ1879908

Sreela Gangopadhyay, Anish Sarkar, Rahul K. Roy

Publication date: 15 September 2004

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407118

zbMATH Keywords

central limit theoremmartingalerandom walkrandom graph

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (16)

Scaling limit for a family of coalescing radial random paths absorbed at the origin ⋮ Hack's law in a drainage network model: a Brownian web approach ⋮ Directed, cylindric and radial Brownian webs ⋮ A drainage network with dependence and the Brownian web ⋮ Convergence to the Brownian web for a generalization of the drainage network model ⋮ The directed spanning forest in the hyperbolic space ⋮ Transmission and navigation on disordered lattice networks, directed spanning forests and Brownian web ⋮ Two directed non-planar random networks and their scaling limits ⋮ Navigation on a Poisson point process ⋮ Semi-Infinite Paths of the Two-Dimensional Radial Spanning Tree ⋮ The 2D‐directed spanning forest is almost surely a tree ⋮ The radial spanning tree of a Poisson point process ⋮ Point-shift foliation of a point process ⋮ The Brownian web: characterization and convergence ⋮ Limit theorems for random spatial drainage networks ⋮ Scaling Limit for a Drainage Network Model

Cites Work

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• Density and uniqueness in percolation
• Choosing a spanning tree for the integer lattice uniformly
• Asymptotics for Euclidean minimal spanning trees on random points
• Models of fractal river basins
• Poisson trees, succession lines and coalescing random walks
• Ground-state structure in a highly disordered spin-glass model.

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