Explicit construction of normal lattice configurations

• Autorzy: Mordechay B. Levin , Meir Smorodinsky
• Języki publikacji: EN

Abstrakty

EN

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 ${0,1,...,b-1}^{ℤ^{d}}$.

Kategorie tematyczne

• 11K16: Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2005
• Tom: 102
• Numer: 1
• Strony: 33-47

Daty

wydano

2005

Twórcy

autor

Mordechay B. Levin

• Department of Mathematics and Statistics, Bar-Ilan University, 52900 Ramat-Gan, Israel

autor

Meir Smorodinsky

• School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978, Israel

Identyfikatory

DOI

10.4064/cm102-1-4