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math.PR2018
The frog model on trees with drift
Erin Beckman, Natalie Frank, Yufeng Jiang +2
We provide a uniform upper bound on the minimal drift so that the one-per-site frog model on a -ary tree is recurrent. To do this, we introduce a subprocess that couples across…
cond-mat.dis-nn2018
Phase Transition for the Chase-Escape Model on 2D Lattices
Si Tang, George Kordzakhia, Steven P. Lalley
Chase-Escape is a simple stochastic model that describes a predator-prey interaction. In this model, there are two types of particles, red and blue. Red particles colonize adjacent…
math.PR2018
Coexistence in chase-escape
Rick Durrett, Matthew Junge, Si Tang
We study a competitive stochastic growth model called chase-escape in which red particles spread to adjacent uncolored sites and blue only to adjacent red sites. Red particles are…