Star discrepancy estimates for digital (t, m, 2)-nets and digital (t, 2) -sequences over Z 2

Acta Mathematica Hungarica

Volumn 109, Issue 3, 2005, Pages 239-254

  Dick, Josef ^a,b   Kritzer, Peter ^a,c  

^a University of New South Wales ^*

^b UNIVERSITY OF NEW SOUTH WALES   (Australia)

^c UNIVERSITY OF SALZBURG   (Austria)

Author keywords

Digital (t,m,s) nets; Digital (t,s) sequences; Star discrepancy

Indexed keywords

EID: 29144511181     PISSN: 02365294     EISSN: 15882632     Source Type: Journal    
DOI: 10.1007/s10474-005-0243-6     Document Type: Article

References (5)

1. 2 discrepancies of some plane sets, Monatsh. Math., 73 (1969), 316-328.
2. L. Kuipers and H. Niederreiter, Uniform Distribution of Sequences, John Wiley (New York, 1974).
3. G. Larcher and F. Pillichshammer, Sums of distances to the nearest integer and the discrepancy of digital nets, Acta. Arith., 106 (2003), 379-408.
4. H. Niederreiter, Random Number Generation and Quasi-Monte Carlo Methods, CBMS-NSF Series in Applied Mathematics, 63, SIAM (Philadelphia, 1992).
5. F. Pillichshammer, Improved upper bounds for the star discrepancy of digital nets in dimension 3, Acta Arith., 108 (2003), 167-189.