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Improved critical drift estimates for the frog model on trees

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Publication:6616312
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DOI10.1214/24-ecp606MaRDI QIDQ6616312

Poly jun. Mathews

Publication date: 9 October 2024

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




zbMATH Keywords

phase transitionfrog modeltreesinteracting particle system


Mathematics Subject Classification ID

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


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
  • 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
  • On the minimal drift for recurrence in the frog model on \(d\)-ary trees
  • Infection spread for the frog model on trees
  • The frog model on trees with drift
  • Sensitivity of the frog model to initial conditions
  • Branching and tree indexed random walks on fractals
  • Frogs in random environment







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