1 citations · 1 across the 5 of their papers we have counts for
12 papers
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…
Random Flights and Anomalous Diffusion: A Non-Markovian Take on Lorentz Processes
Lorenzo Facciaroni, Costantino Ricciuti, Enrico Scalas +1
We study Lorentz processes in two different settings. Both cases are characterized by infinite expectation of the free-flight times, contrary to what happens in the classical Galla…
Para-Markov chains and related non-local equations
Lorenzo Facciaroni, Costantino Ricciuti, Enrico Scalas +1
There is a well established theory that links semi-Markov chains having Mittag-Leffler waiting times to time-fractional equations. We here go beyond the semi-Markov setting, by def…
Some families of random fields related to multiparameter Lévy processes
Francesco Iafrate, Costantino Ricciuti
Let . We here consider a class of random fields which are known as Multiparameter Lévy processes. Related multiparameter…
Lévy processes linked to the lower-incomplete gamma function
Luisa Beghin, Costantino Ricciuti
We start by defining a subordinator by means of the lower-incomplete gamma function. It can be considered as an approximation of the stable subordinator, easier to be handled thank…
From semi-Markov random evolutions to scattering transport and superdiffusion
Costantino Ricciuti, Bruno Toaldo
We here study random evolutions on Banach spaces, driven by a class of semi-Markov processes. The expectation (in the sense of Bochner) of such evolutions is shown to solve some ab…