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math.PR2026
Rate of divergence of time constant for frog model with vanishing initial density
Ryoki Fukushima, Naoki Kubota
The frog model with a Bernoulli initial configuration is an interacting particle system on the -dimensional lattice () with two types of particles: active and sleeping…
math.PR2024
Lipschitz-type estimate for the frog model with Bernoulli initial configuration
Van Hao Can, Naoki Kubota, Shuta Nakajima
We consider the frog model with Bernoulli initial configuration, which is an interacting particle system on the multidimensional lattice consisting of two states of particles: acti…
math.PR2023
Upper tail large deviation for the one-dimensional frog model
Van Hao Can, Naoki Kubota, Shuta Nakajima
In this paper, we study the upper tail large deviation for the one-dimensional frog model. In this model, sleeping and active frogs are assigned to vertices on . While s…