The frog model with death revisited

2025/10/21 by Samyah Ahmed, Ahmed, Samyah, Matthew Junge +1
Mathematics · Physics and Astronomy · #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Markov Chains and Monte Carlo Methods

paper · pdf · doi:10.48550/arxiv.2510.18792

Abstract

We prove that the probability the frog model with death and drift on the d-ary tree is recurrent can be made positive and thus is not monotone in the drift parameter.

Citations

• Improved critical drift estimates for the frog model 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
• The frog model on trees with drift
• Asymptotic behavior of the Brownian frog model
• Frog models on trees through renewal theory
• The shape theorem for the frog model

Related

• On the minimal drift for recurrence in the frog model on d-ary trees
• The frog model on trees with drift
• Improved critical drift estimates for the frog model on trees
• Frog model on ℤ with random survival parameter
• Critical drift estimates for the frog model on trees