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math.PR2026
Extinction and Survival in an Interval-Activation Frog Model on \mathbb{Z} with Random Survival Parameters and Symmetric Random Walks
Gustavo Oshiro de Carvalho, Fábio Prates Machado, José Hermenegildo Ramírez-González
We study an interval-activation frog model on \(\mathbb Z\) with i.i.d.\ initial numbers of frogs \((η_x)_{x\in\mathbb Z}\), satisfying \(0<\mathbb{E}[η_0]<\infty\). Frogs at the o…
math.PR2026
The Frog Model on with Discrete Weibull Lifetimes and Random Parameter
J. H. Ramírez González, Gustavo O. Carvalho, Fábio P. Machado
We study the frog model on with particle wise discrete Weibull lifetimes. Each particle has an i.i.d. survival parameter ; conditionally on , its lifet…