81 citations · 202 across the 22 of their papers we have counts for
5 papers · 1 filter
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…
Hilbert evolution algebras and its connection with discrete-time Markov chains
Sebastian J. Vidal, Paula Cadavid, Pablo M. Rodriguez
Evolution algebras are non-associative algebras. In this work we provide an extension of this class of algebras, in the context of Hilbert spaces, capable to deal with infinite-dim…
The role of multiple repetitions on the size of a rumor
Alejandra Rada, Cristian F. Coletti, Elcio Lebensztayn +1
We propose a mathematical model to measure how multiple repetitions may influence in the ultimate proportion of the population never hearing a rumor during a given outbreak. The mo…
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…