1Department of Mathematics and Statistics Bar-Ilan University 52900 Ramat-Gan, Israel 2School of Mathematical Sciences Tel Aviv University Tel Aviv 69978, Israel
Colloquium Mathematicum, Tome 102 (2005) no. 1, pp. 33-47
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 $\{ 0,1,\ldots,b-1 \}^{{\mathbb Z}^d}$.
Mots-clés :
extend champernownes construction normal numbers base mathbb obtain explicit construction generic point mathbb shift transformation set ldots b mathbb
Affiliations des auteurs :
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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author = {Mordechay B. Levin and Meir Smorodinsky},
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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
