Sets of block structure and discrepancy estimates
Journal de théorie des nombres de Bordeaux, Tome 9 (1997) no. 2, pp. 337-349.

Soient 𝐱=(x n ) n∈ℕ une suite d'éléments d'un ensemble fini M et 𝐟 = (f n ) n∈ℕ une suite d'applications f n :M→M. Quelle information sur 𝐱 et 𝐟 permet d'obtenir des estimations de la discrépance de la suite 𝐟(𝐱)=(f n (x n )) n∈ℕ ? Nous donnons dans cet article des réponses à cette question, en utilisant un résultat qualitatif récent.

Given a sequence 𝐱=(x n ) n∈ℕ on the finite set M and a sequence 𝐟 = (f n ) n∈ℕ of maps f n :M→M. Which information about 𝐱 and 𝐟 is suitable for getting estimates for the discrepancy of the sequence 𝐟(𝐱)=(f n (x n )) n∈ℕ ? The paper's object is, using a recent qualitative result, to give answers to this question.

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     author = {Winkler, Reinhard},
     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},
     mrnumber = {1617402},
     zbl = {0899.11036},
     language = {en},
     url = {http://www.numdam.org/item/JTNB_1997__9_2_337_0/}
}
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Winkler, Reinhard. Sets of block structure and discrepancy estimates. Journal de théorie des nombres de Bordeaux, Tome 9 (1997) no. 2, pp. 337-349. http://www.numdam.org/item/JTNB_1997__9_2_337_0/

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