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math.PR2025
Interacting point processes
Fabrizio Cinque, Enzo Orsingher
We study two different types of vector point processes with interacting components, introducing a migration-type effect. The first case concerns two groups which modify their state…
math.PR2025
Weak convergence of the integral of semi-Markov processes
Andrea Pedicone, Fabrizio Cinque
We study the asymptotic properties, in the weak sense, of regenerative processes and Markov renewal processes. For the latter, we derive both renewal-type results, also concerning…
math.PR2025
Point processes of the Poisson-Skellam family
Fabrizio Cinque, Enzo Orsingher
We study a general non-homogeneous Skellam-type process with jumps of arbitrary fixed sizes. We express this process in terms of a linear combination of Poisson processes and study…