5 papers · 1 filter
The Bell-Touchard Counting process
Thomas Freud, Pablo M. Rodriguez
The Poisson process is one of the simplest stochastic processes defined in continuous time, having interesting mathematical properties, leading, in many situations, to applications…
On a fractional queueing model with catastrophes
Matheus de Oliveira Souza, Pablo Martin Rodriguez
A queue with catastrophes is a modified queue model for which, according to the times of a Poisson process, catastrophes occur leaving the system empty. In this wor…
The Maki-Thompson rumor model on infinite Cayley trees
Valdivino V. Junior, Pablo M. Rodriguez, Adalto Speroto
In this paper we study the Maki-Thompson rumor model on infinite Cayley trees. The basic version of the model is defined by assuming that a population represented by a graph is sub…
An improved lower bound for the critical parameter of the Stavskaya's process
Alex D. Ramos, Caliteia S. Sousa, Pablo M. Rodriguez +1
We consider the Stavskaya's process, which is a two-states Probabilistic Celular Automata defined on a one-dimensional lattice. The process is defined in such a way that the state…
Asymptotic behavior for a modified Maki-Thompson model with directed inter-group interactions
Carolina Grejo, Pablo M. Rodriguez
In this work we propose a new extension for the Maki-Thompson rumor model which incorporates inter-group directed contacts. The model is defined on an homogeneously mixing populati…