Continuum tree limit for the range of random walks on regular trees

DOI10.1214/009117905000000468zbMath1099.60021arXivmath/0509524OpenAlexW2055531525MaRDI QIDQ2368839

Thomas S. A. Duquesne

Publication date: 28 April 2006

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

Full work available at URL: https://arxiv.org/abs/math/0509524

zbMATH Keywords

limit theoremcontinuum random treeexploration processheight processcontour process

Mathematics Subject Classification ID

Trees (05C05) Random graphs (graph-theoretic aspects) (05C80) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)

Related Items (2)

Scaling limit of the invasion percolation cluster on a regular tree ⋮ Scaling limits of tree-valued branching random walks

Cites Work

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• Asymptotic fringe distributions for general families of random trees
• Arbres et processus de Galton-Watson. (Trees and Galton-Watson processes)
• The rate of escape for anisotropic random walks in a tree
• Subdiffusive behavior of random walk on a random cluster
• Tree-valued Markov chains derived from Galton-Watson processes
• Branching processes in Lévy processes: The exploration process
• Functional central limit theorem for a random walk in a random environment
• The range of random walk on trees and related trapping problem
• Random walk on periodic trees
• Large deviations for random walks on Galton-Watson trees: Averaging and uncertainty
• Probabilistic and fractal aspects of Lévy trees
• Conceptual proofs of \(L\log L\) criteria for mean behavior of branching processes
• Biased random walks on Galton-Watson trees
• The continuum random tree. III
• Ergodic theory on Galton—Watson trees: speed of random walk and dimension of harmonic measure
• Random Walks on Infinite Graphs and Groups

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