3 papers
math.PR2025
Critical thresholds in stochastic rumors on trees
Jhon F. Puerres, Valdivino V. Junior, Pablo M. Rodriguez
The vertices of a tree represent individuals in one of three states: ignorant, spreader, or stifler. A spreader transmits the rumor to any of its nearest ignorant neighbors at rate…
math.PR2024
Uniform dispersion in growth models on homogeneous trees
Valdivino V. Junior, Fábio P. Machado, Alejandro Roldán-Correa
We consider the dynamics of a population spatially structured in colonies that are vulnerable to catastrophic events occurring at random times, which randomly reduce their populati…
math.PR2016
The rumor percolation model and its variations
Valdivino V. Junior, Fábio P. Machado, Krishnamurthi Ravishankar
The study of rumor models from a percolation theory point of view has gained a few adepts in the last few years. The persistence of a rumor, which may consistently spread out throu…