Networks of reinforced stochastic processes: Probability of asymptotic polarization and related general results
Articolo
Data di Pubblicazione:
2024
Citazione:
Networks of reinforced stochastic processes: Probability of asymptotic polarization and related general results / G. Aletti, I. Crimaldi, A. Ghiglietti. - In: STOCHASTIC PROCESSES AND THEIR APPLICATIONS. - ISSN 0304-4149. - 174:(2024), pp. 104376.1-104376.19. [10.1016/j.spa.2024.104376]
Abstract:
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 variable. The present work aims at clarifying when the agents can asymptotically polarize, i.e. when the common limit inclination can take the extreme values, 0 or 1, with probability zero, strictly positive, or equal to one. Moreover, we present a suitable technique to estimate this probability that, along with the theoretical results, has been framed in the more general setting of a class of martingales taking values in
and following a specific dynamics.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Interacting random systems; Network-based dynamics; Reinforced stochastic processes; Urn models; Martingales; Polarization; Touching the barriers; Opinion dynamics; Simulations
Elenco autori:
G. Aletti, I. Crimaldi, A. Ghiglietti
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