Displaying similar documents to “Substitutions and 1/2-discrepancy of nθ + x”

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...

L p -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 L p -discrepancy and the Wiener L p -discrepancy. Furthermore, we find asymptotic information on the distribution of the L 2 -discrepancy of sequences.