no. 2
On the discrepancy of Markov-normal sequences
Journal de théorie des nombres de Bordeaux, Tome 8 (1996) no. 2, pp. 413-428.

On construit une suite normale de Markov dont la discrépance est O(N -1/2 log 2 N), améliorant en cela un résultat donnant l’estimation O(e -c(logN) 1/2 ).

We construct a Markov normal sequence with a discrepancy of O(N -1/2 log 2 N). The estimation of the discrepancy was previously known to be O(e -c(logN) 1/2 ).

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     title = {On the discrepancy of {Markov-normal} sequences},
     journal = {Journal de th\'eorie des nombres de Bordeaux},
     pages = {413--428},
     publisher = {Universit\'e Bordeaux I},
     volume = {8},
     number = {2},
     year = {1996},
     mrnumber = {1438479},
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     url = {http://archive.numdam.org/item/JTNB_1996__8_2_413_0/}
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Levin, M. B. On the discrepancy of Markov-normal sequences. Journal de théorie des nombres de Bordeaux, Tome 8 (1996) no. 2, pp. 413-428. http://archive.numdam.org/item/JTNB_1996__8_2_413_0/

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