Synchronization of reinforced stochastic processes with a network-based interaction

DOI10.1214/17-AAP1296zbMath1382.60046arXiv1607.08514MaRDI QIDQ1704152

Irene Crimaldi, Giacomo Aletti, Andrea Ghiglietti

Publication date: 8 March 2018

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.08514

zbMATH Keywords

asymptotic normalitysynchronizationcomplex networksurn modelsinteracting systemsreinforced stochastic processes

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Social networks; opinion dynamics (91D30) Strong limit theorems (60F15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Applications of statistics to physics (62P35)

Related Items (10)

Generalized rescaled Pólya urn and its statistical application ⋮ The rescaled Pólya urn: local reinforcement and chi-squared goodness-of-fit test ⋮ Synchronization in Interacting Reinforced Stochastic Processes ⋮ A Finite Memory Interacting Pólya Contagion Network and Its Approximating Dynamical Systems ⋮ MATRIX-MFO tandem workshop: Stochastic reinforcement processes and graphs. Abstracts from the MATRIX-MFO tandem workshop held March 5--10, 2023 ⋮ Interacting nonlinear reinforced stochastic processes: Synchronization or non-synchronization ⋮ Nonparametric covariate-adjusted response-adaptive design based on a functional urn model ⋮ Synchronization and functional central limit theorems for interacting reinforced random walks ⋮ Interacting reinforced stochastic processes: statistical inference based on the weighted empirical means ⋮ Networks of reinforced stochastic processes: asymptotics for the empirical means

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