Dyadic diaphony
نویسندگان
چکیده
منابع مشابه
Dyadic Diaphony
1. Introduction. Diaphony (see Zinterhof [13] and Kuipers and Nieder-reiter [6, Exercise 5.27, p. 162]) is a numerical quantity that measures the irregularity of the distribution of sequences in the s-dimensional unit cube [0, 1[
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The dyadic diaphony is a quantitative measure for the irregularity of distribution of a sequence in the unit cube. In this paper we give formulae for the dyadic diaphony of digital (0, s)-sequences over Z2, s = 1, 2. These formulae show that for fixed s ∈ {1, 2}, the dyadic diaphony has the same values for any digital (0, s)-sequence. For s = 1, it follows that the dyadic diaphony and the diaph...
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In this paper, we estimate the star-diaphony and the diaphony of the Roth sequence and the Zaremba sequence using their L 2-discrepancy formula given by Halton and Zaremba (see 3]), and White (see 17]). The optimal estimates and the exact asymptotic behaviours of the star-diaphony and the diaphony of both sequences are given. Moreover, the exact asymptotic behaviours of the star-diaphony are th...
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In this article we focus on two aspects of one-dimensional diaphony F.S b ; N / of generalised van der Corput sequences in arbitrary bases. First we give a permutation with the best distribution behaviour concerning the diaphony known so far. We improve a result of Chaix and Faure from 1993 from a value of 1:31574 : : : for a permutation in base 19 to 1:13794 : : : for our permutation in base 5...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1997
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-80-2-187-196