Deterministic and probabilistic discrepancies

William W L Chen; Giancarlo Travaglini

doi:10.1007/s11512-008-0091-z

Deterministic and probabilistic discrepancies

William W L Chen, Giancarlo Travaglini

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

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.

Original language	English
Pages (from-to)	273-293
Number of pages	21
Journal	Arkiv för Matematik
Volume	47
Issue number	2
DOIs	https://doi.org/10.1007/s11512-008-0091-z
Publication status	Published - 2009

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Deterministic and probabilistic discrepancies

Abstract

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