3 citations · 3 across the 2 of their papers we have counts for
7 papers
Queuing models with Mittag-Leffler inter-event times
Jacob Butt, Nicos Georgiou, Enrico Scalas
We study three non-equivalent queueing models in continuous time that each generalise the classical M/M/1 queue in a different way. Inter-event times in all models are Mittag-Leffl…
Theoretical and numerical considerations of the assumptions behind triple closures in epidemic models on networks
Nicos Georgiou, IstvÁn Z. Kiss, PÉter Simon
Networks are widely used to model the contact structure within a population and in the resulting models of disease spread. While networks provide a high degree of realism, the anal…
A new method for the robust characterisation of pairwise statistical dependency between point processes
Antoine Messager, Nicos Georgiou, Luc Berthouze
The robust detection of statistical dependencies between the components of a complex system is a key step in gaining a network-based understanding of the system. Because of their s…
A Large deviation principle for last passage times in an asymmetric Bernoulli potential
Federico Ciech, Nicos Georgiou
We prove a large deviation principle and give an expression for the rate function, for the last passage time in a Bernoulli environment. The model is exactly solvable and its invar…
Last passage percolation in an exponential environment with discontinuous rates
Federico Ciech, Nicos Georgiou
We prove a strong law of large numbers for directed last passage times in an independent but inhomogeneous exponential environment. Rates for the exponential random variables are o…
Order of the variance in the discrete Hammersley process with boundaries
Federico Ciech, Nicos Georgiou
We discuss the order of the variance on a lattice analogue of the Hammersley process with boundaries, for which the environment on each site has independent, Bernoulli distributed…