Upper Bounds in Discrepancy Theory

William W. L. Chen

doi:10.1007/978-3-642-27440-4_2

Upper Bounds in Discrepancy Theory

William W. L. Chen

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

1 Citation (Scopus)

Abstract

Through the use of a few examples, we shall illustrate the use of probability theory, or otherwise, in the study of upper bound questions in the theory of irregularities of point distribution. Such uses may be Monte Carlo in nature but the most efficient ones appear to be quasi Monte Carlo in nature. Furthermore, we shall compare the relative merits of probabilistic and non-probabilistic techniques, as well as try to understand the actual role that the probability theory plays in some of these arguments.

Original language	English
Title of host publication	Monte Carlo and quasi-Monte Carlo methods 2010
Editors	Leszek Plaskota, Henryk Woźniakowski
Place of Publication	Berlin; Heidelberg
Publisher	Springer, Springer Nature
Pages	23-41
Number of pages	19
Volume	23
ISBN (Print)	9783642274398
DOIs	https://doi.org/10.1007/978-3-642-27440-4_2
Publication status	Published - 2012
Event	9th International Conference on Monte Carlo and Quasi Monte Carlo Methods in Scientific Computing, MCQMC 2010 - Warsaw, Poland Duration: 15 Aug 2010 → 20 Aug 2010

Other

Other	9th International Conference on Monte Carlo and Quasi Monte Carlo Methods in Scientific Computing, MCQMC 2010
Country/Territory	Poland
City	Warsaw
Period	15/08/10 → 20/08/10

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10.1007/978-3-642-27440-4_2

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title = "Upper Bounds in Discrepancy Theory",

abstract = "Through the use of a few examples, we shall illustrate the use of probability theory, or otherwise, in the study of upper bound questions in the theory of irregularities of point distribution. Such uses may be Monte Carlo in nature but the most efficient ones appear to be quasi Monte Carlo in nature. Furthermore, we shall compare the relative merits of probabilistic and non-probabilistic techniques, as well as try to understand the actual role that the probability theory plays in some of these arguments.",

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Chen, WWL 2012, Upper Bounds in Discrepancy Theory. in L Plaskota & H Woźniakowski (eds), Monte Carlo and quasi-Monte Carlo methods 2010. vol. 23, Springer, Springer Nature, Berlin; Heidelberg, pp. 23-41, 9th International Conference on Monte Carlo and Quasi Monte Carlo Methods in Scientific Computing, MCQMC 2010, Warsaw, Poland, 15/08/10. https://doi.org/10.1007/978-3-642-27440-4_2

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AB - Through the use of a few examples, we shall illustrate the use of probability theory, or otherwise, in the study of upper bound questions in the theory of irregularities of point distribution. Such uses may be Monte Carlo in nature but the most efficient ones appear to be quasi Monte Carlo in nature. Furthermore, we shall compare the relative merits of probabilistic and non-probabilistic techniques, as well as try to understand the actual role that the probability theory plays in some of these arguments.

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DO - 10.1007/978-3-642-27440-4_2

M3 - Conference proceeding contribution

AN - SCOPUS:84893568467

SN - 9783642274398

VL - 23

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EP - 41

BT - Monte Carlo and quasi-Monte Carlo methods 2010

A2 - Plaskota, Leszek

A2 - Woźniakowski, Henryk

PB - Springer, Springer Nature

CY - Berlin; Heidelberg

T2 - 9th International Conference on Monte Carlo and Quasi Monte Carlo Methods in Scientific Computing, MCQMC 2010

Y2 - 15 August 2010 through 20 August 2010

ER -

Upper Bounds in Discrepancy Theory

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