1 citations · 1 across the 5 of their papers we have counts for
7 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…
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…
The Maki-Thompson model with random awareness
Cristian F. Coletti, Denis A. Luiz, Alejandra Rada
We propose a rumor propagation model in which individuals within a homogeneously mixed population can assume one of infinitely many possible states. To analyze this model, we exten…
A Non-Markovian Approach to a Stochastic Rumor Dynamics with Cognitive Deliberation
Cristian F. Coletti, Denis A. Luiz
We introduce a non-Markovian rumor model on a complete graph of vertices, integrating the classical interactional framework of Daley and Kendall (1964) with modern cognitive in…
Infinite-dimensional genetic and evolution algebras generated by Gibbs measures
Cristian F. Coletti, Lucas R. de Lima, Denis A. Luiz
Genetic and evolution algebras arise naturally from applied probability and stochastic processes. Gibbs measures describe interacting systems commonly studied in thermodynamics and…
Limit theorems for a random walk with memory perturbed by a dynamical system
Cristian F. Coletti, Lucas R. de Lima, Renato J. Gava +1
We introduce a new random walk with unbounded memory obtained as a mixture of the Elephant Random Walk and the Dynamic Random Walk which we call the Dynamic Elephant Random Walk (D…