5 papers
Hydrodynamic limits for TASEP with space-time discontinuities
Jacob Butt, Nicos Georgiou, Enrico Scalas
We develop a hydrodynamic theory for a height-dependent version of the totally asymmetric simple exclusion process in which the jump rate at a growth site is sampled from a macrosc…
Shot-noise processes with logarithmic response function and their scaling limits
Luisa Beghin, Lorenzo Cristofaro, Enrico Scalas
We consider shot-noise processes with an impulse response written in terms of the logarithm of the ratio between current and event time (instead of the usual absolute time differen…
A restless time-fractional multiclass queue
Nicos Georgiou, Enrico Scalas, Vladislav Vysotsky
We study a single-server priority queue with a finite number of classes, in which the arrivals follow a fractional Poisson process of index and the service completion…
Non-Markovian chains with long-range dependence and their scaling limits
Lorenzo Facciaroni, Costantino Ricciuti, Enrico Scalas
There is a well-established theory linking certain semi-Markov chains and continuous-time random walks to time-fractional equations and anomalous diffusion. In this work, we go bey…
How many outbreaks before an epidemic?
Fabio Rapallo, Enrico Scalas, Pietro Terna
In this work, we study the finite-population behaviour of the Reed-Frost epidemic model. Our analysis relies on the exact expression for the final epidemic size, replaced by Monte…