1 citations · 1 across the 6 of their papers we have counts for
6 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…
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…
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…
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…
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 completions…
The fractional non-homogeneous Poisson process
N. Leonenko, E. Scalas, M. Trinh
We introduce a non-homogeneous fractional Poisson process by replacing the time variable in the fractional Poisson process of renewal type with an appropriate function of time. We…