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math.NT2020
Extreme and periodic discrepancy of plane point sets
Aicke Hinrichs, Ralph Kritzinger, Friedrich Pillichshammer
In this paper we study the extreme and the periodic discrepancy of plane point sets. The extreme discrepancy is based on arbitrary rectangles as test sets whereas the periodi…
math.NT2020
A note on the periodic -discrepancy of Korobov's -sets
Josef Dick, Aicke Hinrichs, Friedrich Pillichshammer
We study the periodic -discrepancy of point sets in the -dimensional torus. This discrepancy is intimately connected with the root-mean-square -discrepancy of shifted…