Improved discrepancy bounds for hybrid sequences involving Halton sequences
(2012)
Acta Arithmetica
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Displaying similar documents to “Substitutions and 1/2-discrepancy of nθ + x”
Improved discrepancy bounds for hybrid sequences involving Halton sequences
On existence and discrepancy of certain digital Niederreiter-Halton sequences
Roswitha Hofer, Gerhard Larcher (2010)
Acta Arithmetica
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A generalization of NUT digital (0,1)-sequences and best possible lower bounds for star discrepancy
Henri Faure, Friedrich Pillichshammer (2013)
Acta Arithmetica
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In uniform distribution theory, discrepancy is a quantitative measure for the irregularity of distribution of a sequence modulo one. At the moment the concept of digital (t,s)-sequences as introduced by Niederreiter provides the most powerful constructions of s-dimensional sequences with low discrepancy. In one dimension, recently Faure proved exact formulas for different notions of discrepancy for the subclass of NUT digital (0,1)-sequences. It is the aim of this paper to generalize...
L₂ discrepancy of generalized two-dimensional Hammersley point sets scrambled with arbitrary permutations
Henri Faure, Friedrich Pillichshammer, Gottlieb Pirsic, Wolfgang Ch. Schmid (2010)
Acta Arithmetica
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Improvements on the star discrepancy of (t,s)-sequences
Henri Faure, Christiane Lemieux (2012)
Acta Arithmetica
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The inverse of the star-discrepancy depends linearly on the dimension
Stefan Heinrich, Henryk Woźniakowski, Grzegorz W. Wasilkowski, Erich Novak (2001)
Acta Arithmetica
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An L¹ estimate for half-space discrepancy
William W. L. Chen, Giancarlo Travaglini (2011)
Acta Arithmetica
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Edmund Hlawka (1916-2009)
Wolfgang M. Schmidt (2009)
Acta Arithmetica
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Corrigendum to: "Improvements on the star discrepancy of (t,s)-sequences" (Acta Arith. 154 (2012), 61-78)
Henri Faure, Christiane Lemieux (2013)
Acta Arithmetica
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This short note is intended to correct an inaccuracy in the proof of Theorem 3 in the paper mentioned in the title. The result of Theorem 3 remains true without any other change in the proof. Furthermore, a misprint is pointed out.
A new construction of (t,s)-sequences and some improved bounds on their quality parameter
David J. S. Mayor, Harald Niederreiter (2007)
Acta Arithmetica
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General Discrepancy Estimates III: The Erdös-Turán-Koksma Inequality for the Haar Function System.
Peter Hellekalek (1995)
Monatshefte für Mathematik
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On the discrepancy of some hybrid sequences
Harald Niederreiter (2009)
Acta Arithmetica
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Discrepancy and diaphony of digital (0,1)-sequences in prime base
Henri Faure (2005)
Acta Arithmetica
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-discrepancy and statistical independence of sequences
Peter J. Grabner, Oto Strauch, Robert Franz Tichy (1999)
Czechoslovak Mathematical Journal
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We characterize statistical independence of sequences by the -discrepancy and the Wiener -discrepancy. Furthermore, we find asymptotic information on the distribution of the -discrepancy of sequences.