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 language||English (US)|
|Number of pages||10|
|Journal||Proceedings of the American Mathematical Society|
|State||Published - Aug 2009|
- Discrepancy theory
- Fourier analysis