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.
Articolo in rivista - Articolo scientifico
Discrepancy
English
2009
47
273
293
none
Chen, W., Travaglini, G. (2009). Deterministic and probabilistic discrepancies. ARKIV FÖR MATEMATIK, 47, 273-293 [10.1007/s11512-008-0091-z].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/6998
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