72 citations · 146 across the 21 of their papers we have counts for
4 papers · 2 filters
Colonization and collapse on Homogeneous Trees
Valdivino V. Junior, Fábio P. Machado, Alejandro Roldán-Correa
We investigate a basic immigration process where colonies grow, during a random time, according to a general counting process until collapse. Upon collapse a random amount of indiv…
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…
On an epidemic model on finite graphs
Itai Benjamini, Luiz Renato Fontes, Jonathan Hermon +1
We study a system of random walks, known as the frog model, starting from a profile of independent Poisson() particles per site, with one additional active particle planted at s…
Dispersion as a survival strategy
Valdivino Vargas Junior, Fábio Prates Machado, Alejandro Roldán-Correa
We consider stochastic growth models to represent population subject to catastrophes. We analyze the subject from different set ups considering or not spatial restrictions, whether…