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Volumn 23, Issue 4-6, 2007, Pages 649-652

A note on the existence of sequences with small star discrepancy

Author keywords

Sequence; Star discrepancy; Tractability

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; SET THEORY;

EID: 36248968643     PISSN: 0885064X     EISSN: 10902708     Source Type: Journal    
DOI: 10.1016/j.jco.2007.01.004     Document Type: Article
Times cited : (13)

References (9)
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    • Doerr, B.1    Gnewuch, M.2    Srivastav, A.3
  • 2
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    • Some open problems concerning the star-discrepancy. Numerical integration and its complexity (Oberwolfach, 2001)
    • Heinrich S. Some open problems concerning the star-discrepancy. Numerical integration and its complexity (Oberwolfach, 2001). J. Complexity 19 (2003) 416-419
    • (2003) J. Complexity , vol.19 , pp. 416-419
    • Heinrich, S.1
  • 3
    • 0035649406 scopus 로고    scopus 로고
    • The inverse of the star-discrepancy depends linearly on the dimension
    • Heinrich S., Novak E., Wasilkowski G.W., and Woźniakowski H. The inverse of the star-discrepancy depends linearly on the dimension. Acta Arith. 96 (2001) 279-302
    • (2001) Acta Arith. , vol.96 , pp. 279-302
    • Heinrich, S.1    Novak, E.2    Wasilkowski, G.W.3    Woźniakowski, H.4
  • 4
    • 0037648331 scopus 로고    scopus 로고
    • The existence of good extensible rank-1 lattices. Numerical integration and its complexity (Oberwolfach, 2001)
    • Hickernell F.J., and Niederreiter H. The existence of good extensible rank-1 lattices. Numerical integration and its complexity (Oberwolfach, 2001). J. Complexity 19 (2003) 286-300
    • (2003) J. Complexity , vol.19 , pp. 286-300
    • Hickernell, F.J.1    Niederreiter, H.2
  • 5
    • 3242687318 scopus 로고    scopus 로고
    • Covering numbers, Vapnik-Červonenkis classes and bounds for the star-discrepancy
    • Hinrichs A. Covering numbers, Vapnik-Červonenkis classes and bounds for the star-discrepancy. J. Complexity 20 (2004) 477-483
    • (2004) J. Complexity , vol.20 , pp. 477-483
    • Hinrichs, A.1
  • 6
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    • Funktionen von beschränkter Variation in der Theorie der Gleichverteilung
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    • Hlawka E. Funktionen von beschränkter Variation in der Theorie der Gleichverteilung. Ann. Mat. Pura Appl. 54 (1961) 325-333 (in German)
    • (1961) Ann. Mat. Pura Appl. , vol.54 , pp. 325-333
    • Hlawka, E.1
  • 7
    • 36248992853 scopus 로고    scopus 로고
    • H. Niederreiter, Random number generation and quasi-Monte Carlo methods, CBMS-NSF Regional Conference Series in Applied Mathematics, vol. 63, SIAM, Philadelphia, PA, 1992.
  • 8
    • 0345492044 scopus 로고    scopus 로고
    • The existence of good extensible polynomial lattice rules
    • Niederreiter H. The existence of good extensible polynomial lattice rules. Monatsh. Math. 139 (2003) 295-307
    • (2003) Monatsh. Math. , vol.139 , pp. 295-307
    • Niederreiter, H.1
  • 9
    • 23044461865 scopus 로고    scopus 로고
    • Constructions of (t, m, s)-nets and (t, s)-sequences
    • Niederreiter H. Constructions of (t, m, s)-nets and (t, s)-sequences. Finite Fields Appl. 11 (2005) 578-600
    • (2005) Finite Fields Appl. , vol.11 , pp. 578-600
    • Niederreiter, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.