Cyclic shifts of the van der corput set

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

In 1980, K. Roth showed that the expected value of the L2 discrepancy of the cyclic shifts of the N-point van der Corput set is bounded by a constant multiple of logN, thus guaranteeing the existence of a shift with asymptotically minimal L2 discrepancy. In the present paper, we construct a specific example of such a shift.

Original languageEnglish (US)
Pages (from-to)2591-2600
Number of pages10
JournalProceedings of the American Mathematical Society
Volume137
Issue number8
DOIs
StatePublished - Aug 2009
Externally publishedYes

Keywords

  • Discrepancy theory
  • Fourier analysis

Fingerprint Dive into the research topics of 'Cyclic shifts of the van der corput set'. Together they form a unique fingerprint.

Cite this