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Cyclic Shifts Of The Van Der Corput Set, Dmitriy Bilyk
Cyclic Shifts Of The Van Der Corput Set, Dmitriy Bilyk
Faculty Publications
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.