VOLUME-DISCREPANCY ESTIMATES IN ONE AND 2 DIMENSIONS

Authors
XIAO YJ FAURE H
Citation
Yj. Xiao et H. Faure, VOLUME-DISCREPANCY ESTIMATES IN ONE AND 2 DIMENSIONS, Mathematical and computer modelling, 23(8-9), 1996, pp. 25-36
Citations number
9
Categorie Soggetti
Mathematics,Mathematics,"Computer Science Interdisciplinary Applications","Computer Science Software Graphycs Programming
Journal title
Mathematical and computer modelling → ACNP
ISSN journal
08957177
Volume
23
Issue
8-9
Year of publication
1996
Pages
25 - 36
Database
ISI
SICI code
0895-7177(1996)23:8-9<25:VEIOA2>2.0.ZU;2-M
Abstract
In one dimension, we give an estimate for the lower bound of the volum e-discrepancy (see [1]) for any sequence and an estimate for the volum e-discrepancy of the Van der Corput sequences in base b greater than o r equal to 2. In two dimensions, we estimate the volume-discrepancy fo r (0, 2)-sequences in base b greater than or equal to 2 and give an ex plicit minimal net.