Synchronization and functional central limit theorems for interacting reinforced random walks

DOI10.1016/j.spa.2018.02.012zbMath1404.60044arXiv1602.06217OpenAlexW2963606775WikidataQ130171743 ScholiaQ130171743MaRDI QIDQ1756956

Irene Crimaldi, Paolo Dai Pra, Pierre-Yves Louis, Ida Germana Minelli

Publication date: 28 December 2018

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.06217

zbMATH Keywords

functional central limit theoremssynchronizationreinforced processesurn modelsdynamics on random graphsinteracting random systems

Mathematics Subject Classification ID

Applications of statistics to social sciences (62P25) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Functional limit theorems; invariance principles (60F17)

Related Items (9)

Interacting urns on a finite directed graph ⋮ Vertex reinforced random walks with exponential interaction on complete graphs ⋮ Generalized rescaled Pólya urn and its statistical application ⋮ The rescaled Pólya urn: local reinforcement and chi-squared goodness-of-fit test ⋮ Interacting nonlinear reinforced stochastic processes: Synchronization or non-synchronization ⋮ Synchronization of reinforced stochastic processes with a network-based interaction ⋮ Delay-induced periodic behaviour in competitive populations ⋮ 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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