23 citations · 105 across the 20 of their papers we have counts for
23 papers
Multiple colour interacting urns on complete graphs
Benito Pires, Rafael A. Rosales
We present a multiple colour generalisation of the model of graph interacting urns studied by Benaim et. al., Random Struct. Alg., 46: 614-634, 2015. We show that for complete grap…
A chaotic discrete-time continuous-state Hopfield network with piecewise-affine activation functions
Benito Pires
We construct a chaotic discrete-time continuous-state Hopfield network with piecewise-affine nonnegative activation functions and weight matrix with small positive entries. More pr…
Chaotic time series in financial processes consisting of savings with piecewise constant monthly contributions
José Pedro Gaivão, Benito Pires
We investigate the time series generated by an elementary and deterministic financial process that consists in making monthly contributions to a savings account subjected to the de…
Switched server systems whose parameters are normal numbers in base 4
Andre do Amaral Antunes, Yann Bugeaud, Benito Pires
Switched server systems are mathematical models of manufacturing, traffic and queueing systems. Recently, it was proved in (Eur. J. Appl. Math. 31(4) (2020), pp. 682-708) that ther…
Vertex reinforced random walks with exponential interaction on complete graphs
Benito Pires, Fernando P. A. Prado, Rafael A. Rosales
We describe a model for vertex reinforced interacting random walks on complete graphs with vertices. The transition probability of a random walk to a given vertex dep…
Chaos and frequent hypercyclicity for composition operators
Udayan B. Darji, Benito Pires
The notions of chaos and frequent hypercyclicity enjoy an intimate relationship in linear dynamics. Indeed, after a series of partial results, it was shown by Bayart and Rusza in 2…