Deterministic and probabilistic discrepancies

William W L Chen, Giancarlo Travaglini

    Research output: Contribution to journalArticle

    10 Citations (Scopus)

    Abstract

    In this paper, we compare some deterministic and probabilistic techniques in the study of upper bounds in problems related to certain mean square discrepancie with respect to balls in the d-dimensional unit torus, and show that the quality of these techniques depends in an intricate way on the dimension d under consideration.

    Original languageEnglish
    Pages (from-to)273-293
    Number of pages21
    JournalArkiv för Matematik
    Volume47
    Issue number2
    DOIs
    Publication statusPublished - 2009

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