On the minimal drift for recurrence in the frog model on \(d\)-ary trees

DOI10.1214/21-AAP1755zbMath1499.60329arXiv2008.09226OpenAlexW4293483663MaRDI QIDQ2083273

Si Tang, Ningxi Wei, Chengkun Guo

Publication date: 10 October 2022

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

Full work available at URL: https://arxiv.org/abs/2008.09226

zbMATH Keywords

generating functionrecurrencerecursionfrog model

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (1)

Critical drift estimates for the frog model on trees

Cites Work

• Unnamed Item
• From transience to recurrence with Poisson tree frogs
• The critical density for the frog model is the degree of the tree
• Stochastic orders and the frog model
• Recurrence and transience for the frog model on trees
• Recurrence and transience of frogs with drift on \(\mathbb{Z}^d\)
• A zero-one law for recurrence and transience of frog processes
• The frog model on trees with drift
• An improved upper bound for the critical probability of the frog model on homogeneous trees
• Recurrence for the frog model with drift on \(\mathbb{Z}^d\)
• Recurrence of the frog model on the 3,2-alternating tree
• The critical probability for the frog model is not a monotonic function of the graph
• On the range of the transient frog model on ℤ

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