The critical density for the frog model is the degree of the tree
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Publication:727865
DOI10.1214/16-ECP29zbMath1354.60119arXiv1607.07914MaRDI QIDQ727865
Publication date: 21 December 2016
Published in: Electronic Communications in Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.07914
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)
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Stochastic orders and the frog model ⋮ On an epidemic model on finite graphs ⋮ The frog model on trees with drift ⋮ Sensitivity of the frog model to initial conditions ⋮ A stochastic combustion model with thresholds on trees ⋮ Critical drift estimates for the frog model on trees ⋮ Recurrence and transience of frogs with drift on \(\mathbb{Z}^d\) ⋮ Frogs on trees? ⋮ Infection spread for the frog model on trees ⋮ On transience of frogs on Galton-Watson trees ⋮ Laws of large numbers for the frog model on the complete graph ⋮ COVER TIME FOR THE FROG MODEL ON TREES ⋮ On the minimal drift for recurrence in the frog model on \(d\)-ary trees
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