72 citations · 146 across the 21 of their papers we have counts for
5 papers · 1 filter
The cone percolation on $\bbT_d$
Valdivino V. Junior, Fábio P. Machado, Mauricio Zuluaga
We study a rumour model from a percolation theory and branching process point of view. The existence of a giant component is related to the event where the rumour spreads out troug…
CLT for the proportion of infected incividuals for an epidemic model on a complete graph
F. Machado, H. Mashurian, H. Matzinger
We prove a Central Limit Theorem for the proportion of infected individuals for an epidemic model by dealing with a discrete time system of simple random walks on a complete graph…
Rumour Processes on N
Valdivino V. Junior, Fabio P. Machado, Mauricio Zuluaga
We study four discrete time stochastic systems on modeling processes of rumour spreading. The involved individuals can either have an active or a passive role, speaking up o…
On the behaviour of a rumour process with random stifling
Elcio Lebensztayn, Fábio P. Machado, Pablo M. Rodríguez
We propose a realistic generalization of the Maki-Thompson rumour model by assuming that each spreader ceases to propagate the rumour right after being involved in a random number…
Limit theorems for a general stochastic rumour model
Elcio Lebensztayn, Fábio P. Machado, Pablo M. Rodríguez
We study a general stochastic rumour model in which an ignorant individual has a certain probability of becoming a stifler immediately upon hearing the rumour. We refer to this spe…