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math.PR2022★ 1 cited
Networks of reinforced stochastic processes: probability of asymptotic polarization and related general results
Giacomo Aletti, Irene Crimaldi, Andrea Ghiglietti
In a network of reinforced stochastic processes, for certain values of the parameters, all the agents' inclinations synchronize and converge almost surely toward a certain random v…
math.PR2022★ 2 cited
Networks of reinforced stochastic processes: a complete description of the first-order asymptotics
Giacomo Aletti, Irene Crimaldi, Andrea Ghiglietti
We consider a finite collection of reinforced stochastic processes with a general network-based interaction among them. We provide sufficient and necessary conditions in order to h…