From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules (Q898073)
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| Language | Label | Description | Also known as |
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| English | From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules |
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From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules (English)
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8 December 2015
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The paper under review is a survey about van der Corput sequences and their generalizations in commemoration of 125th birthday of J.G. van der Corput. The authors give results on uniform distribution modulo 1 of the van der Corput sequence, generalizations and variants of the van der Corput sequence, and moreover multi-dimensional generalizations of the van der Corput sequence. The paper contains a comprehensive references list of earlier studies derived from van der Corput's idea.
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van der Corput sequence
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uniform distribution
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discrepancy
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generalized Halton sequence
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\((t,s)\)-sequence
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Niederreiter sequence
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