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.
|Title of host publication||A Panorama of Discrepancy Theory|
|Editors||William Chen , Anand Srivastav , Giancarlo Travaglini|
|Place of Publication||Heidelberg|
|Publisher||Springer, Springer Nature|
|Number of pages||67|
|Publication status||Published - 2014|