4 papers · 1 filter
Extinction and Survival for a Generalized Contact Process with Deterministic Cures
Nancy L. Garcia, Denis A. Luiz, Daniel M. Machado
We study a generalized contact process on \(\mathbb{Z}^d\) parameterized by an infection rate \(λ\) and a resetting probability \(p \in [0,1]\), modeling deterministic cure times.…
Extinction, Survival and Fluctuations for the Spatial Maki--Thompson Model on Infinite Graphs
Luciano Henrique Lacerda de Araújo, Daniel Miranda Machado, Cristian Favio Coletti +1
We study the spatial Maki--Thompson rumor model on infinite, connected graphs of bounded degree. Spreaders transmit the rumor to ignorant neighbors but become stiflers upon contact…
Topology of Percolation Clusters: Central Limit Theorems beyond the Lattice
Luciano H. L. de Araújo, Daniel Miranda Machado, Cristian F. Coletti
We prove central limit theorems (CLTs) for topological functionals of Bernoulli bond percolation on infinite graphs beyond the Euclidean lattice . For quasi-transit…
The Maki-Thompson Model with Spontaneous Stifling on Symmetric Networks
Nancy Lopes Garcia, Denis Araujo Luiz, Daniel Miranda Machado
We investigate rumor spreading in a generalized Maki-Thompson model with spontaneous stifling, evolving on quasi-transitive networks. Individuals are either ignorants, spreaders, o…