Explicit construction of normal lattice configurations
Tom 102 / 2005
Colloquium Mathematicum 102 (2005), 33-47
MSC: Primary 11K16, 28D.
DOI: 10.4064/cm102-1-4
Streszczenie
We extend Champernowne's construction of normal numbers to base 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}.
