Upper Bounds in Discrepancy Theory

William W. L. Chen

    Research output: Chapter in Book/Report/Conference proceedingConference proceeding contributionpeer-review

    1 Citation (Scopus)

    Abstract

    Through the use of a few examples, we shall illustrate the use of probability theory, or otherwise, in the study of upper bound questions in the theory of irregularities of point distribution. Such uses may be Monte Carlo in nature but the most efficient ones appear to be quasi Monte Carlo in nature. Furthermore, we shall compare the relative merits of probabilistic and non-probabilistic techniques, as well as try to understand the actual role that the probability theory plays in some of these arguments.

    Original languageEnglish
    Title of host publicationMonte Carlo and quasi-Monte Carlo methods 2010
    EditorsLeszek Plaskota, Henryk Woźniakowski
    Place of PublicationBerlin; Heidelberg
    PublisherSpringer, Springer Nature
    Pages23-41
    Number of pages19
    Volume23
    ISBN (Print)9783642274398
    DOIs
    Publication statusPublished - 2012
    Event9th International Conference on Monte Carlo and Quasi Monte Carlo Methods in Scientific Computing, MCQMC 2010 - Warsaw, Poland
    Duration: 15 Aug 201020 Aug 2010

    Other

    Other9th International Conference on Monte Carlo and Quasi Monte Carlo Methods in Scientific Computing, MCQMC 2010
    CountryPoland
    CityWarsaw
    Period15/08/1020/08/10

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