Uniform Distribution Theory
Journal license

Journal

Uniform Distribution Theory


Volume
& Issue

Volume 6, Issue 2


Published
on

May 9, 2011


Pages

85-94


DOI

Article

Note on Implicitly Defined Sets in Uniform Distribution Theory


Authors

Stefan Steinerberger Affiliation:
Mathematisches Institut Universit¨at Bonn Endenicher Allee 60 53115 Bonn Germany


Abstract

Motivated by some matching results in terms of extreme discrep- ancy, we describe a packing problem in [0, 1]d with an interpretation in logistics, determine its asymptotic behavior, show its minimizers to be asymptotically uni- formly distributed and raise several questions.


Keywords

Optimal matching, Voronoi cells.


Citation

Steinerberger, S. (2011). Note on implicitly defined sets in uniform distribution theory. Uniform Distribution Theory, 6(2), 85–94.

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