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Chapitre D'ouvrage Année : 2014

On Atanassov's methods for discrepancy bounds of low-discrepancy sequences

Résumé

The aim of this survey paper is to give an updated overview of results on low dis- crepancy sequences obtained via Atanassov’s methods. These methods first initiated for Halton sequences have been later on extended to generalizations of these sequences and to (t, s)- sequences, the other well known family of low discrepancy sequences, including polynomial arithmetic analogues of Halton sequences.
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Dates et versions

hal-01109982 , version 1 (27-01-2015)

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Citer

Henri Faure. On Atanassov's methods for discrepancy bounds of low-discrepancy sequences. Peter Kritzer, Harald Niederreiter, Friedrich Pillichshammer, and Arne Winterhof. Uniform Distribution and Quasi-Monte Carlo Methods, 15, De Gruyter, pp.105-126, 2014, 9783110317930. ⟨10.1515/9783110317930.105⟩. ⟨hal-01109982⟩
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