Upper bounds in classical discrepancy theory

William Chen*, Maxim Skriganov

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingChapter

    1 Citation (Scopus)

    Abstract

    We discuss some of the ideas behind the study of upper bound questions in classical discrepancy theory. The many ideas involved come from diverse areas of mathematics and include diophantine approximation, probability theory, number theory and various forms of Fourier analysis. We illustrate these ideas by largely restricting our discussion to two dimensions.

    Original languageEnglish
    Title of host publicationA Panorama of Discrepancy Theory
    EditorsWilliam  Chen , Anand  Srivastav , Giancarlo  Travaglini
    Place of PublicationHeidelberg
    PublisherSpringer, Springer Nature
    Pages3-69
    Number of pages67
    Volume2107
    ISBN (Electronic)9783319046969
    ISBN (Print)9783319046952
    DOIs
    Publication statusPublished - 2014

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