Open Access
October 2009 Deterministic and probabilistic discrepancies
William W.L. Chen, Giancarlo Travaglini
Author Affiliations +
Ark. Mat. 47(2): 273-293 (October 2009). DOI: 10.1007/s11512-008-0091-z

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.

Citation

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William W.L. Chen. Giancarlo Travaglini. "Deterministic and probabilistic discrepancies." Ark. Mat. 47 (2) 273 - 293, October 2009. https://doi.org/10.1007/s11512-008-0091-z

Information

Received: 11 May 2007; Published: October 2009
First available in Project Euclid: 31 January 2017

zbMATH: 1241.11089
MathSciNet: MR2529702
Digital Object Identifier: 10.1007/s11512-008-0091-z

Rights: 2008 © Institut Mittag-Leffler

Vol.47 • No. 2 • October 2009
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