Minoration de discrépance en dimension deux

Henri Faure; Henri Chaix

Acta Arithmetica (1996)

  • Volume: 76, Issue: 2, page 149-164
  • ISSN: 0065-1036

How to cite

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Henri Faure, and Henri Chaix. "Minoration de discrépance en dimension deux." Acta Arithmetica 76.2 (1996): 149-164. <http://eudml.org/doc/206892>.

@article{HenriFaure1996,
author = {Henri Faure, Henri Chaix},
journal = {Acta Arithmetica},
keywords = {low-discrepancy sequences; -sequences; exact order of magnitude; discrepancy; two-dimensional sequence},
language = {fre},
number = {2},
pages = {149-164},
title = {Minoration de discrépance en dimension deux},
url = {http://eudml.org/doc/206892},
volume = {76},
year = {1996},
}

TY - JOUR
AU - Henri Faure
AU - Henri Chaix
TI - Minoration de discrépance en dimension deux
JO - Acta Arithmetica
PY - 1996
VL - 76
IS - 2
SP - 149
EP - 164
LA - fre
KW - low-discrepancy sequences; -sequences; exact order of magnitude; discrepancy; two-dimensional sequence
UR - http://eudml.org/doc/206892
ER -

References

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  1. [1] J. Beck, A two dimensional van Aardenne-Ehrenfest theorem in irregularities of distribution, Compositio Math. 72 (1989), 269-339. Zbl0691.10041
  2. [2] H. Faure, Discrépance de suites associées à un système de numération (en dimension s), Acta Arith. 41 (1982), 337-351. Zbl0442.10035
  3. [3] H. Faure et H. Chaix, Minoration de discrépance en dimension 2, C. R. Acad. Sci. Paris Sér. I 319 (1994), 1-4. Zbl0809.11040
  4. [4] G. Halász, On Roth's method in the theory of irregularities of point distribution, in: Recent Progress in Analytic Number Theory, Vol. 2, Academic Press, 1981, 79-94. 
  5. [5] J. H. Halton, On the efficiency of certain quasi-random points in evaluating multi-dimensional integrals, Numer. Math. 2 (1960), 84-90. Zbl0090.34505
  6. [6] H. Niederreiter, Point sets and sequences with small discrepancy, Monatsh. Math. 104 (1987), 273-337. Zbl0626.10045
  7. [7] H. Niederreiter, Low discrepancy and low dispersion sequences, J. Number Theory 30 (1988), 51-70. Zbl0651.10034
  8. [8] K. F. Roth, On irregularities of distribution, Mathematika 1 (1954), 73-79. Zbl0057.28604
  9. [9] W. M. Schmidt, Irregularities of distribution, VII, Acta Arith. 21 (1972), 45-50. Zbl0244.10035
  10. [10] I. M. Sobol', On the distribution of points in a cube and the approximate evaluation of integrals, U.S.S.R. Comput. Math. and Math. Phys. 7 (1967), 86-112. 
  11. [11] S. Srinivasan, On two dimensional Hammersley sequences, J. Number Theory 10 (1978), 421-429. Zbl0393.10051

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