Explicit construction of normal lattice configurations

Mordechay B. Levin; Meir Smorodinsky

Colloquium Mathematicae, Tome 103 (2005), p. 33-47 / Harvested from The Polish Digital Mathematics Library

Résumé

We extend Champernowne’s construction of normal numbers to base b to the $ℤ^{d}$ case and obtain an explicit construction of a generic point of the $ℤ^{d}$ shift transformation of the set ${0, 1, . . ., b - 1}^{ℤ^{d}}$ .

Publié le : 2005-01-01

Zbl 1080.11057

EUDML-ID : urn:eudml:doc:283628

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     author = {Mordechay B. Levin and Meir Smorodinsky},
     title = {Explicit construction of normal lattice configurations},
     journal = {Colloquium Mathematicae},
     volume = {103},
     year = {2005},
     pages = {33-47},
     zbl = {1080.11057},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm102-1-4}
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Mordechay B. Levin; Meir Smorodinsky. Explicit construction of normal lattice configurations. Colloquium Mathematicae, Tome 103 (2005) pp. 33-47. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm102-1-4/