4 papers
Phase transitions for percolation of words in one dimension
Gustavo O. de Carvalho, Pablo A. Gomes
In this paper, we investigate models of percolation of words on with long-range connections. The underlying graph is oriented and constructed according to a sequence…
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…
Improved Survival Results for the One-Dimensional Renewal Contact Process
Gustavo O. de Carvalho, Lucas R. de Lima
The renewal contact process is a non-Markovian variant of the classical contact process in which recoveries are governed by independent renewal processes with interarrival distribu…
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…