Scaling limits for simple random walks on random ordered graph trees

DOI10.1239/aap/1275055241zbMath1202.60162arXiv1210.5866OpenAlexW2109849732MaRDI QIDQ3578043

David A. Croydon

Publication date: 13 July 2010

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.5866

zbMATH Keywords

scaling limitbranching processrandom walkalpha-stable treerandom graph tree

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Stochastic processes (60G99) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

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Scaling limits of stochastic processes associated with resistance forms ⋮ Exceptionally small balls in stable trees ⋮ Mini-workshop: New horizons in motions in random media. Abstracts from the mini-workshop held February 26 -- March 4, 2023 ⋮ Convergence of blanket times for sequences of random walks on critical random graphs ⋮ Simply generated trees, conditioned Galton-Watson trees, random allocations and condensation ⋮ Scaling limit for the random walk on the largest connected component of the critical random graph ⋮ Invariance principles for random walks in random environment on trees ⋮ Stochastic PDEs on graphs as scaling limits of discrete interacting systems ⋮ Scaling limits of the three-dimensional uniform spanning tree and associated random walk ⋮ Brownian motion on ℝ-trees

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