Geodesic
On the fixed volume discrepancy of the Korobov point sets
Sbornik. Mathematics, Tome 212 (2021) no. 8, pp. 1180-1192

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This paper is devoted to the study of a discrepancy-type characteristic – the fixed volume discrepancy – of Korobov point sets in the unit cube. It has been observed recently that this new characteristic allows us to obtain an optimal rate of dispersion decay. This observation has motivated us to study this new version of discrepancy thoroughly; it also seems to have independent interest. This paper extends recent results due to Temlyakov and Ullrich on the fixed volume discrepancy of Fibonacci point sets. Bibliography: 23 titles.
Keywords: discrepancy
Mots-clés : Korobov cubature formulae, dispersion. 
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     title = {On the fixed volume discrepancy of the {Korobov} point sets},
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A. S. Rubtsova; K. S. Ryutin; V. N. Temlyakov. On the fixed volume discrepancy of the Korobov point sets. Sbornik. Mathematics, Tome 212 (2021) no. 8, pp. 1180-1192. http://geodesic.mathdoc.fr/item/SM_2021_212_8_a3/