A sequence well dispersed in the unit square

Jean-Pierre Lambert

Type: Article

Publication Date: 1988-01-01

Citations: 4

DOI: https://doi.org/10.1090/s0002-9939-1988-0943050-3

Abstract

Distributional properties of sequences of points in the unit square have been studied extensively and there is considerable interest in sequences which are well distributed according to various criteria. Dispersion is a measure of sequence density and an important concept connected with regularity of distribution. We introduce an infinite, dyadic, easily-generated sequence which is particularly well distributed, in the sense of having dispersion of lowest possible order of magnitude.

Locations

Proceedings of the American Mathematical Society - View - PDF

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Works Cited by This (12)

Action	Title	Year	Authors
+	On irregularities of distribution, II	1976	K. F. Roth
+	On two-dimensional Hammersley's sequences	1978	Srimeenakshi Srinivasan
+	On optimal extreme-discrepancy point sets in the square	1977	Brian E. White
+	Systematic Search in High Dimensional Sets	1977	Thomas Aird John R. Rice
+	Localization of Search in Quasi-Monte Carlo Methods for Global Optimization	1986	Harald Niederreiter Paul Peart
+	Quasi-Monte Carlo, low discrepancy sequences, and ergodic transformations	1985	Jean-Pierre Lambert
+	A sequence well distributed in the square	1986	Richard G. E. Pinch
+	The dispersion of the Hammersley Sequence in the unit square	1982	Paul Peart
+ PDF Chat	Quasi-Monte Carlo methods and pseudo-random numbers	1978	Harald Niederreiter
+	Quasi-Monte Carlo Methods for Global Optimization	1985	Harald Niederreiter