Synchronization via interacting reinforcement

P. Dai Pra, P.-Y. Louis, I.G. Minelli

Research output: Contribution to journalArticleAcademicpeer-review

8 Citations (Scopus)

Abstract

We consider a system of urns of Pólya type, containing balls of two colors; the reinforcement of each urn depends on both the content of the urn and the average content of all urns. We show that the urns synchronize almost surely, in the sense that the fraction of balls of a given color converges almost surely as time tends to 8 to the same limit for all urns. A normal approximation for a large number of urns is also obtained.
Original languageEnglish
Pages (from-to)556-568
Number of pages13
JournalJournal of Applied Probability
Volume51
Issue number2
Publication statusPublished - 2014

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