A lower bound for the b-adic diaphony
The b-adic diaphony is a quantitative measure for the irregularity of distribution of a point set in the s-dimensional unit cube. In this note we show that the b-adic diaphony (for prime b) of a point set consisting of N points in the s-dimensional unit cube is always at least of order (log N)^{(s−1...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Sapienza Università Editrice
2007-01-01
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Series: | Rendiconti di Matematica e delle Sue Applicazioni |
Subjects: | |
Online Access: | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2007(2)/147-153.pdf |