6 papers
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…
Sharkovskiis theorem under small random perturbations
Isabella Alvarenga, Daniel Miranda Machado
We establish a Sharkovskii-type theorem for a class of discrete random dynamical systems via the random Conley index. Using the continuation property of the Conley index, we extend…
Symmetry Breaking, Hysteresis, and Convergence to the Mean Voter in two-party Spatial Competition
Daniel Miranda Machado, Roberto Venegeroles
Classical spatial models of two-party competition typically predict convergence to the median voter, yet real-world party systems often exhibit persistent and asymmetric polarizati…
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…