5 papers
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…
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…
The Frog Model on with General Random Survival Parameter
Gustavo O. Carvalho, Fábio P. Machado, J. Hermenegildo R. González
We study the frog model on with particle-wise random geometric lifetimes: each particle has a survival parameter sampled i.i.d., whose density near sat…
Frog model on with random survival parameter
Gustavo O. de Carvalho, Fábio P. Machado
We study the frog model on \( \mathbb{Z} \) with geometric lifetimes, introducing a random survival parameter. Active and inactive particles are placed at the vertices of \( \mathb…
Critical Conditions for the Coverage of Complete Graphs with the Frog Model
Gustavo O. de Carvalho, Fábio P. Machado
We consider a system of interacting random walks known as the frog model. Let be the complete graph with vertices and $o\in\mathca…