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math.PR2023
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…
math.PR2023
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…
math.PR2022★ 1 cited
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…