1 citations · 2 across the 5 of their papers we have counts for
5 papers
The Poisson Multiplication Formula
Lorenzo Cristofaro, Giovanni Peccati
We establish necessary and sufficient conditions implying that the product of Poisson functionals, living in a finite sum of Wiener chaoses, is square-integrable. Our con…
A class of infinite-dimensional Gaussian processes defined through generalized fractional operators
Luisa Beghin, Lorenzo Cristofaro, Yuliya Mishura
The generalization of fractional Brownian motion in infinite-dimensional white and grey noise spaces has been recently carried over, following the Mandelbrot-Van Ness representatio…
Renewal processes linked to fractional relaxation equations with variable order
Luisa Beghin, Lorenzo Cristofaro, Roberto Garrappa
We introduce and study here a renewal process defined by means of a time-fractional relaxation equation with derivative order varying with time . In particular, we u…
Characterization and Analysis of Generalized Grey Incomplete Gamma Noise
Wolfgang Bock, Lorenzo Cristofaro
The grey incomplete gamma distributions was established by one of the authors in a previous publication. In this article we use the Kondratiev characterization theorem to identify…
Non-Gaussian Measures in Infinite Dimensional Spaces: the Gamma-Grey Noise
Luisa Beghin, Lorenzo Cristofaro, Janusz Gajda
In the context of non-Gaussian analysis, Schneider [27] introduced grey noise measures, built upon Mittag-Leffler functions; analogously, grey Brownian motion and its generalizatio…