The frog model on non-amenable trees

DOI10.1214/20-EJP454zbMath1441.60084arXiv1910.05133MaRDI QIDQ2184613

Josh Rosenberg, Marcus Michelen

Publication date: 29 May 2020

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

Full work available at URL: https://arxiv.org/abs/1910.05133

zbMATH Keywords

frog modelnon-amenableinteracting random walk

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Cites Work

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• From transience to recurrence with Poisson tree frogs
• Recurrence and transience for the frog model on trees
• The shape theorem for the frog model
• Asymptotic behavior of a stochastic combustion growth process
• Recurrence for the frog model with drift on \(\mathbb{Z}^d\)
• Invasion percolation on Galton-Watson trees
• Probability on Trees and Networks
• 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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