4 papers
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…
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…
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…