3 citations · 3 across the 2 of their papers we have counts for
5 papers · 1 filter
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…
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…
Positive and zero temperature polymer models
Nicos Georgiou
We present results about large deviations and laws of large numbers for various polymer related quantities. In a completely general setting and strictly positive temperature, we pr…