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math.PR2026
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…
math.PR2025
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…
math.PR2025
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…