Cyclic Shifts of the Van Der Corput Set

Author(s)

Dmitriy Bilyk, University of South Carolina - ColumbiaFollow

Document Type

Article

Subject Area(s)

Mathematics

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.

Publication Info

Proceedings of the American Mathematical Society, Volume 137, Issue 8, 2009, pages 2591-2600. © 2009 by American Mathematical Society

Rights

© 2009 by American Mathematical Society