Convergence of simple random walks on random discrete trees to Brownian motion on the continuum random tree

DOI10.1214/07-AIHP153zbMath1187.60083arXiv0710.0460OpenAlexW1998747849MaRDI QIDQ731714

David A. Croydon

Publication date: 8 October 2009

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.0460

zbMATH Keywords

Brownian motionrandom walkcontinuum random tree

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

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Cites Work

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• Dirichlet forms and symmetric Markov processes
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• Probabilistic and fractal aspects of Lévy trees
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• The continuum random tree. III
• Volume growth and heat kernel estimates for the continuum random tree
• Random walk on the incipient infinite cluster on trees
• Sample functions of the Gaussian process
• Convergence of discrete snakes
• The scaling limit of the incipient infinite cluster in high-dimensional percolation. II. Integrated super-Brownian excursion

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