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On the L 2 –discrepancies of van der Corput sequences
Author(s) -
Faure Henri
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700710
Subject(s) - simple (philosophy) , selection (genetic algorithm) , star (game theory) , combinatorics , mathematics , computer science , philosophy , artificial intelligence , mathematical analysis , epistemology
We present a selection of results concerning the L 2 –discrepancies of the two classical generalizations of van der Corput sequences. Especially, we give very simple linear digit scramblings producing very small L 2 –discrepancies and we show that digitally shifted sequences are not a good choice to improve the star L 2 –discrepancy. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)