In this paper, we compare some deterministic and probabilistic techniques in the study of upper bounds in problems related to certain mean square discrepancie with respect to balls in the d-dimensional unit torus, and show that the quality of these techniques depends in an intricate way on the dimension d under consideration. © 2008 by Institut Mittag-Leffler.
Chen, W., Travaglini, G. (2009). Deterministic and probabilistic discrepancies. ARKIV FÖR MATEMATIK, 47, 273-293 [10.1007/s11512-008-0091-z].
Deterministic and probabilistic discrepancies
TRAVAGLINI, GIANCARLO
2009
Abstract
In this paper, we compare some deterministic and probabilistic techniques in the study of upper bounds in problems related to certain mean square discrepancie with respect to balls in the d-dimensional unit torus, and show that the quality of these techniques depends in an intricate way on the dimension d under consideration. © 2008 by Institut Mittag-Leffler.
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