Infection spread for the frog model on trees

DOI10.1214/19-EJP368zbMath1427.60201arXiv1710.05884MaRDI QIDQ2279305

Tobias Johnson, Matthew Junge, Christopher Hoffmann

Publication date: 12 December 2019

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

Full work available at URL: https://arxiv.org/abs/1710.05884

zbMATH Keywords

phase transitionfrog 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 (8)

On an epidemic model on finite graphs ⋮ A stochastic combustion model with thresholds on trees ⋮ Explosion and non-explosion for the continuous-time frog model ⋮ Critical drift estimates for the frog model on trees ⋮ Laws of large numbers for the frog model on the complete graph ⋮ A new upper bound for the critical probability of the frog model on homogeneous trees ⋮ The asymptotic shape theorem for the frog model on finitely generated abelian groups ⋮ COVER TIME FOR THE FROG MODEL ON TREES

Cites Work

• From transience to recurrence with Poisson tree frogs
• The critical density for the frog model is the degree of the tree
• Stochastic orders
• Stochastic comparisons of Poisson and binomial random variables with their mixtures.
• Stochastic orders and the frog model
• Recurrence and transience for the frog model on trees
• Size biased couplings and the spectral gap for random regular graphs
• Frogs on trees?
• The shape theorem for the frog model
• Asymptotic behavior of a stochastic combustion growth process
• Recurrence and transience of frogs with drift on \(\mathbb{Z}^d\)
• Asymptotic behavior of the Brownian frog model
• A zero-one law for recurrence and transience of frog processes
• The spread of a rumor or infection in a moving population
• A shape theorem for the spread of an infection
• A phase transition in a model for the spread of an infection
• Recurrence for the frog model with drift on \(\mathbb{Z}^d\)
• The frog model with drift on \(\mathbb{R} \)
• Recurrence of the frog model on the 3,2-alternating tree
• The nonhomogeneous frog model on ℤ
• Branching and tree indexed random walks on fractals
• On the range of the transient frog model on ℤ
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Infection spread for the frog model on trees