On some remarkable properties of the two-dimensional hammersley point set in base 2

Journal de Theorie des Nombres de Bordeaux

Volumn 18, Issue 1, 2006, Pages 203-221

  Kritzer, Peter ^a  

^a UNIVERSITY OF SALZBURG   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85009986227     PISSN: 12467405     EISSN: None     Source Type: Journal    
DOI: 10.5802/jtnb.540     Document Type: Article

References (9)

1. [1] L. De Clerck, A method for exact calculation of the stardiscrepancy of plane sets applied to the sequences of Hammersley. Monatsh. Math. 101 (1986), 261-278.
2. J. Dick, P. Kritzer, Star-discrepancy estimates for digital (t,m, 2)-nets and (t, 2)-sequences over Z2. Acta Math. Hungar. 109 (3) (2005), 239-254.
3. M. Drmota, R. F. Tichy, Sequences, Discrepancies and Applications. Lecture Notes in Mathematics 1651, Springer, Berlin, 1997.
4. H. Faure, On the star-discrepancy of generalized Hammersley sequences in two dimensions. Monatsh. Math. 101 (1986), 291-300.
5. 2discrepancies of some plane sets. Monatsh. Math. 73 (1969), 316-328.
6. L. Kuipers, H. Niederreiter, Uniform Distribution of Sequences. John Wiley, New York, 1974.
7. G. Larcher, F. Pillichshammer, Sums of distances to the nearest integer and the discrepancy of digital nets. Acta Arith. 106 (2003), 379-408.
8. H. Niederreiter, Random Number Generation and Quasi-Monte Carlo Methods. CBMS-NSF Series in Applied Mathematics 63, SIAM, Philadelphia, 1992.
9. F. Zhang, Matrix Theory. Springer, New York, 1999.