Linear and superlinear spread for stochastic combustion growth process
V Bezborodov, T Krueger - Annales de l'Institut Henri Poincare (B) …, 2024 - projecteuclid.org
Consider a stochastic growth model on Z d. Start with some active particle at the origin and
sleeping particles elsewhere. The initial number of particles at x∈ Z d is η (x), where (η (x)) …
sleeping particles elsewhere. The initial number of particles at x∈ Z d is η (x), where (η (x)) …
Linear and superlinear spread for continuous-time frog model
V Bezborodov, T Krueger - arXiv preprint arXiv:2008.10585, 2020 - arxiv.org
Consider a stochastic growth model on $\mathbb {Z}^ d $. Start with some active particle at
the origin and sleeping particles elsewhere. The initial number of particles at $ x\in\mathbb …
the origin and sleeping particles elsewhere. The initial number of particles at $ x\in\mathbb …
Coexistence in discrete time multi-type competing frog models
We study coexistence in discrete time multi-type frog models. We first show that for two types
of particles on Z d, for d≥ 2, for any jumping parameters p 1, p 2∈(0, 1], coexistence occurs …
of particles on Z d, for d≥ 2, for any jumping parameters p 1, p 2∈(0, 1], coexistence occurs …