On the discrepancy of Markov-normal sequences

M. B. Levin

doi:10.5802/jtnb.178

M. B. Levin

Journal de Théorie des Nombres de Bordeaux, Tome 8 (1996) no. 2, pp. 413-428.

Résumé
Abstract

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 $O (e^{- c {(log N)}^{1 / 2}})$ .

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 $O (e^{- c {(log N)}^{1 / 2}})$ .

MR 1438479 | Zbl 0916.11044

DOI : https://doi.org/10.5802/jtnb.178

@article{JTNB_1996__8_2_413_0,
     author = {Levin, Mordechay B.},
     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},
     doi = {10.5802/jtnb.178},
     zbl = {0916.11044},
     mrnumber = {1438479},
     language = {en},
     url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.178/}
}

M. B. Levin. On the discrepancy of Markov-normal sequences. Journal de Théorie des Nombres de Bordeaux, Tome 8 (1996) no. 2, pp. 413-428. doi : 10.5802/jtnb.178. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.178/

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