Explicit construction of normal lattice configurations

Mordechay B. Levin, and Meir Smorodinsky. "Explicit construction of normal lattice configurations." Colloquium Mathematicae 102.1 (2005): 33-47. <http://eudml.org/doc/283628>.

@article{MordechayB2005,
abstract = {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 $\{0,1,...,b-1\}^\{ℤ^\{d\}\}$.},
author = {Mordechay B. Levin, Meir Smorodinsky},
journal = {Colloquium Mathematicae},
keywords = {normal number; discrepancy; uniform distribution},
language = {eng},
number = {1},
pages = {33-47},
title = {Explicit construction of normal lattice configurations},
url = {http://eudml.org/doc/283628},
volume = {102},
year = {2005},
}

TY - JOUR
AU - Mordechay B. Levin
AU - Meir Smorodinsky
TI - Explicit construction of normal lattice configurations
JO - Colloquium Mathematicae
PY - 2005
VL - 102
IS - 1
SP - 33
EP - 47
AB - 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 ${0,1,...,b-1}^{ℤ^{d}}$.
LA - eng
KW - normal number; discrepancy; uniform distribution
UR - http://eudml.org/doc/283628
ER -