5 papers
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…
On the characterization of the space of derivations in evolution algebras
Yolanda Cabrera Casado, Paula Cadavid, Mary Luz Rodiño Montoya +1
We study the space of derivations for some finite-dimensional evolution algebras, depending on the twin partition of an associated directed graph. For evolution algebras with a twi…
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…
Characterization theorems for the spaces of derivations of evolution algebras associated to graphs
Paula Cadavid, Mary Luz Rodiño Montoya, Pablo M. Rodriguez
It is well-known that the space of derivations of -dimensional evolution algebras with non-singular matrices is zero. On the other hand, the space of derivations of evolution al…