Quenched critical percolation on Galton-Watson trees

DOI10.1214/24-ejp1160zbMATH Open1544.60094MaRDI QIDQ6595721

Quirin Vogel, Eleanor Archer

Publication date: 30 August 2024

Published in: Electronic Journal of Probability (Search for Journal in Brave)

zbMATH Keywords

branching processescritical percolationincipient infinite cluster

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stable stochastic processes (60G52) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Cites Work

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• Random walks and percolation on trees
• Subdiffusive behavior of random walk on a random cluster
• A limit theorem for the contour process of conditioned Galton-Watson trees
• Notes on random walks in the Cauchy domain of attraction
• Critical percolation and the incipient infinite cluster on Galton-Watson trees
• Quenched survival of Bernoulli percolation on Galton-Watson trees
• Asymptotic properties of supercritical branching processes I: The Galton-Watson process
• A branching process with mean one and possibly infinite variance

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