Maximal avalanches in the Bak-Sneppen model

A. Gillett, R.W.J. Meester, P. Wal, van der

    Research output: Contribution to journalArticleAcademicpeer-review

    8 Citations (Scopus)

    Abstract

    We study the durations of the avalanches in the maximal avalanche decomposition of the Bak-Sneppen evolution model. We show that all the avalanches in this maximal decomposition have infinite expectation, but only `barely', in the sense that if we made the appropriate threshold a tiny amount smaller (in a certain sense), then the avalanches would have finite expectation. The first of these results is somewhat surprising, since simulations suggest finite expectations.
    Original languageEnglish
    Pages (from-to)840-851
    JournalJournal of Applied Probability
    Volume43
    Issue number3
    DOIs
    Publication statusPublished - 2006

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