Given a sequence on the finite set and a sequence = of maps Which information about and is suitable for getting estimates for the discrepancy of the sequence ? The paper's object is, using a recent qualitative result, to give answers to this question.
Soient une suite d'éléments d'un ensemble fini et = une suite d'applications Quelle information sur et permet d'obtenir des estimations de la discrépance de la suite ? Nous donnons dans cet article des réponses à cette question, en utilisant un résultat qualitatif récent.
@article{JTNB_1997__9_2_337_0, author = {Reinhard Winkler}, title = {Sets of block structure and discrepancy estimates}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {337--349}, publisher = {Universit\'e Bordeaux I}, volume = {9}, number = {2}, year = {1997}, zbl = {0899.11036}, mrnumber = {1617402}, language = {en}, url = {https://jtnb.centre-mersenne.org/item/JTNB_1997__9_2_337_0/} }
TY - JOUR AU - Reinhard Winkler TI - Sets of block structure and discrepancy estimates JO - Journal de théorie des nombres de Bordeaux PY - 1997 SP - 337 EP - 349 VL - 9 IS - 2 PB - Université Bordeaux I UR - https://jtnb.centre-mersenne.org/item/JTNB_1997__9_2_337_0/ LA - en ID - JTNB_1997__9_2_337_0 ER -
Reinhard Winkler. Sets of block structure and discrepancy estimates. Journal de théorie des nombres de Bordeaux, Volume 9 (1997) no. 2, pp. 337-349. https://jtnb.centre-mersenne.org/item/JTNB_1997__9_2_337_0/
[D-T] Sequences, discrepancy and applications. Springer, Lecture Notes in Mathematics 1651 (1997). | MR | Zbl
and[G] The complexity of uniform distribution. Math. Slovaca 44.5 (1994), 491-500. | EuDML | MR | Zbl
[H] Theorie der Gleichverteilung. Bibl. Inst. Mannheim - Wien- Zürich, 1979. | MR | Zbl
[Ki-Li] Normal numbers and subsets of N with given densities. Fund. Math. 144 (1994), 163-179. | EuDML | MR | Zbl
and[Kui-N] Uniform distribution of sequences. John Wiley and Sons, New York, 1974. | MR | Zbl
and[Lo] Almost constant sequences of transformations. Mh. Math. 85 (1978), 105-113. | EuDML | MR | Zbl
[Lo-Ri] Almost constant sequences. Soc. Math. de France Astérisque 61 (1979), 133-143. | MR | Zbl
and[Rau] Etude de quelques ensembles de fonctions définis par des proprietés de moyenne. Théorie des Nombres Univ. de Bordeaux 1972/73, Exp. 20. | EuDML | MR | Zbl
[Ri] Fast konstante Folgen. Acta Arith. 35.2 (1979), 189-193. | EuDML | MR | Zbl
[W] Distribution preserving sequences of maps and almost constant sequences on finite sets. To appear in Mh. Math. | EuDML | MR | Zbl