Geodesic
Explicit construction of normal lattice configurations
Mordechay B. Levin 1   ; Meir Smorodinsky 2
1 Department of Mathematics and Statistics Bar-Ilan University 52900 Ramat-Gan, Israel
2 School of Mathematical Sciences Tel Aviv University Tel Aviv 69978, Israel
Colloquium Mathematicum, Tome 102 (2005) no. 1, pp. 33-47 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We extend Champernowne's construction of normal numbers to base $b$ to the ${\mathbb Z}^d$ case and obtain an explicit construction of a generic point of the ${\mathbb Z}^d$ shift transformation of the set $\{ 0,1,\ldots,b-1 \}^{{\mathbb Z}^d}$.
DOI : 10.4064/cm102-1-4
Mots-clés : extend champernownes construction normal numbers base mathbb obtain explicit construction generic point mathbb shift transformation set ldots b mathbb

Mordechay B. Levin  1   ; Meir Smorodinsky  2

1 Department of Mathematics and Statistics Bar-Ilan University 52900 Ramat-Gan, Israel
2 School of Mathematical Sciences Tel Aviv University Tel Aviv 69978, Israel 
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Mordechay B. Levin; Meir Smorodinsky. Explicit construction of 
normal lattice configurations. Colloquium Mathematicum, Tome 102 (2005) no. 1, pp. 33-47. doi: 10.4064/cm102-1-4

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