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Volumn 12, Issue 1, 2006, Pages 1-17

A best possible upper bound on the star discrepancy of (t, m, 2)-nets

Author keywords

(t, m, s) net; (t,s) sequence; Star discrepancy

Indexed keywords


EID: 84862264974     PISSN: 09299629     EISSN: 15693961     Source Type: Journal    
DOI: 10.1515/156939606776886643     Document Type: Article
Times cited : (10)

References (10)
  • 1
    • 0000289845 scopus 로고
    • A method for exact calculation of the stardiscrepancy of plane sets applied to the sequences of Hammersley
    • De Clerck, L., A method for exact calculation of the stardiscrepancy of plane sets applied to the sequences of Hammersley. Monatsh. Math., 101(1986), 261-278.
    • (1986) Monatsh. Math. , vol.101 , pp. 261-278
    • De Clerck, L.1
  • 3
    • 0041846446 scopus 로고
    • Discrepancy lower bound in two dimensions
    • H. Niederreiter et al. eds., Springer Lecture Notes in Statistics
    • Faure, H., Discrepancy lower bound in two dimensions. In H. Niederreiter et al. (eds.), Monte Carlo and quasi-Monte Carlo methods in scientific computing, Springer Lecture Notes in Statistics, 106(1995), 198-204.
    • (1995) Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing , vol.106 , pp. 198-204
    • Faure, H.1
  • 5
    • 85009986227 scopus 로고    scopus 로고
    • On some remarkable properties of the two-dimensional Hammersley net in base 2
    • To appear in
    • Kritzer, P., On some remarkable properties of the two-dimensional Hammersley net in base 2. To appear in J. Théor. Nombres Bordeaux (2006).
    • (2006) J. Théor. Nombres Bordeaux
    • Kritzer, P.1
  • 7
    • 0041831009 scopus 로고    scopus 로고
    • Sums of distances to the nearest integer and the discrepancy of digital nets
    • Larcher, G. and Pillichshammer, F., Sums of distances to the nearest integer and the discrepancy of digital nets, Acta Arith., 106(2003), 379-408.
    • (2003) Acta Arith. , vol.106 , pp. 379-408
    • Larcher, G.1    Pillichshammer, F.2
  • 8
    • 8344289793 scopus 로고
    • Point sets and sequences with small discrepancy
    • Niederreiter, H., Point sets and sequences with small discrepancy, Monatsh. Math., 104(1987), 273-337.
    • (1987) Monatsh. Math. , vol.104 , pp. 273-337
    • Niederreiter, H.1
  • 10
    • 0041672239 scopus 로고    scopus 로고
    • Improved upper bounds for the star discrepancy of digital nets in dimension 3
    • Pillichshammer, F., Improved upper bounds for the star discrepancy of digital nets in dimension 3, Acta Arith., 108(2003), 167-189.
    • (2003) Acta Arith. , vol.108 , pp. 167-189
    • Pillichshammer, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.