Metrical results on the discrepancy of Halton–Kronecker sequences

被引：0
|
作者：
Roswitha Hofer
Gerhard Larcher
机构：
[1] University of Linz,Institute of Financial Mathematics
来源：
Mathematische Zeitschrift | 2012年 / 271卷
关键词：
Discrepancy; Hybrid sequence; Kronecker sequence; Halton sequence; Quasi-Monte Carlo method; 11K31; 11K38; 11K50; 11K60; 11A55;
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学科分类号：
摘要：
By a Halton–Kronecker sequence we mean a sequence in the (s+t)-dimensional unit-cube which is the combination of an s-dimensional Halton-sequence and a t-dimensional Kronecker sequence. The distribution of such sequences was studied for the first time quite recently by Niederreiter. In this paper we obtain metrical results for the discrepancy of Halton–Kronecker sequences which are similar to results for the pure Kronecker sequences obtained by Khintchine and by W.M. Schmidt.
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页码：1 / 11
页数：10
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