The frog model on Galton-Watson trees

DOI10.1214/24-AAP2054MaRDI QIDQ6616878

Marcus Michelen, Josh Rosenberg

Publication date: 9 October 2024

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

zbMATH Keywords

branching processfrog modelactivated random walk

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)

Cites Work

• Title not available (Why is that?)
• From transience to recurrence with Poisson tree frogs
• Recurrence and transience for the frog model on trees
• The branching random walk and contact process on Galton-Watson and nonhomogeneous trees
• The shape theorem for the frog model
• Biased random walks on Galton-Watson trees
• On transience of frogs on Galton-Watson trees
• Activated Random Walks on \(\mathbb{Z}^d\)
• Recurrence for the frog model with drift on \(\mathbb{Z}^d\)
• Probability on trees and networks
• Recurrence of the frog model on the 3,2-alternating tree
• Ergodic theory on Galton—Watson trees: speed of random walk and dimension of harmonic measure
• Branching and tree indexed random walks on fractals
• On the range of the transient frog model on ℤ
• Frogs in random environment

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