Modifications de nombres normaux par des transducteurs
Jean Marie Dumont ; Alain Thomas
Acta Arithmetica, Tome 68 (1994), p. 153-170 / Harvested from The Polish Digital Mathematics Library
Publié le : 1994-01-01
EUDML-ID : urn:eudml:doc:206652
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     author = {Jean Marie Dumont and Alain Thomas},
     title = {Modifications de nombres normaux par des transducteurs},
     journal = {Acta Arithmetica},
     volume = {68},
     year = {1994},
     pages = {153-170},
     zbl = {0824.11044},
     language = {fra},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav68i2p153bwm}
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Jean Marie Dumont; Alain Thomas. Modifications de nombres normaux par des transducteurs. Acta Arithmetica, Tome 68 (1994) pp. 153-170. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav68i2p153bwm/

[000] [BV] A. Bertrand-Mathis and B. Volkmann, On (ε,k)-normal words in connecting dynamical systems , Monatsh. Math. 107 (1989), 267-279. | Zbl 0648.10032

[001] [Be] A. S. Besicovitch, The asymptotic distribution of the numerals in the decimal representation of the squares of the natural numbers, Math. Z. 39 (1935), 146-156. | Zbl 0009.20002

[002] [BlDT] F. Blanchard, J. M. Dumont and A. Thomas, Generic sequences, transducers and multiplication of normal numbers, Israel J. Math. 80 (1992), 257-287. | Zbl 0776.11040

[003] [Ch] D. G. Champernowne, The construction of decimals normal in the scale of ten, J. London Math. Soc. 8 (1933), 254-260. | Zbl 0007.33701

[004] [CE] A. Copeland and P. Erdős, Note on normal numbers, Bull. Amer. Math. Soc. 52 (1946), 857-860. | Zbl 0063.00962

[005] [DT] J. M. Dumont et A. Thomas, Une modification multiplicative des nombres g-normaux, Ann. Fac. Sci. Toulouse Math. (5) 8 (1986/87), 367-376.

[006] [G] P. Grabner, On digit expansions with respect to second order linear recurring sequences, in: Number Theoretic Analysis (Vienna, 1988-89), Lecture Notes in Math. 1452, Springer, Berlin, 1990, 58-64.

[007] [NS1] Y.-N. Nakaï and I. Shiokawa, A class of normal numbers, Japan J. Math. 16 (1990), 17-29.

[008] [NS2] Y.-N. Nakaï and I. Shiokawa, A class of normal numbers. II, in: Number Theory and Cryptography (Sydney, 1989), J. H. Loxton (ed.), London Math. Soc. Lecture Note Ser. 154, Cambridge Univ. Press, Cambridge, 1990, 204-210.

[009] [NS3] Y.-N. Nakaï and I. Shiokawa, Discrepancy estimates for a class of normal numbers, Acta Arith. 62 (1992), 271-284.

[010] [Re] A. Rényi, Calcul des probabilités, Collect. Univ. Math. 21, Dunod, Paris, 1966.

[011] [Sc] J. Schiffer, Discrepancy of normal numbers, Acta Arith. 47 (1986), 175-186. | Zbl 0556.10036

[012] [SV] P. Szüsz and B. Volkmann, Sur des nombres normaux définis par un polynôme, Séminaire de théorie des nombres, 1987-1988 (Talence, 1987-1988), Exp. No. 42, 4pp., Univ. Bordeaux I, Talence. | Zbl 0713.11047

[013] [V] B. Volkmann, On modifying constructed normal numbers, Ann. Fac. Sci. Toulouse Math. (5) 1 (1979), 269-285. | Zbl 0429.10034