The frog model on trees with drift

DOI10.1214/19-ECP235zbMath1422.60156arXiv1808.03283MaRDI QIDQ2422718

Yufeng Jiang, Erin Beckman, Matthew Junge, Si Tang, Natalie Frank

Publication date: 20 June 2019

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

Full work available at URL: https://arxiv.org/abs/1808.03283

zbMATH Keywords

recurrencefrog modelcouplinginteracting particle system

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 (3)

A stochastic combustion model with thresholds on trees ⋮ Critical drift estimates for the frog model on trees ⋮ On the minimal drift for recurrence in the frog model on \(d\)-ary trees

Cites Work

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• Recurrence for the frog model with drift on \(\mathbb{Z}^d\)
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• Recurrence of the frog model on the 3,2-alternating tree
• The nonhomogeneous frog model on ℤ
• 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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