Fábio P. Machado

Extinction and Survival in an Interval-Activation Frog Model on \mathbb{Z} with Random Survival Parameters and Symmetric Random Walks

We study an interval-activation frog model on \(\mathbb Z\) with i.i.d.\ initial numbers of frogs \((\eta_x)_{x\in\mathbb Z}\), satisfying \(0<\mathbb{E}[\eta_0]<\infty\). Frogs at the origin are initially active and all others are sleeping. Each frog performs a symmetric integer-valued random walk and has a random lif...