Explicit construction of normal lattice configurations

Mordechay B. Levin; Meir Smorodinsky

doi:10.4064/cm102-1-4

Explicit construction of normal lattice configurations

Mordechay B. Levin, Meir Smorodinsky

Department of Mathematics

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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}^ℤd.

Original language	English
Pages (from-to)	33-47
Number of pages	15
Journal	Colloquium Mathematicum
Volume	102
Issue number	1
DOIs	https://doi.org/10.4064/cm102-1-4
State	Published - 2005

Bibliographical note

Publisher Copyright:
© 2005, Instytut Matematyczny. All rights reserved.

Funding

Work supported in part by the Israel Science Foundation Grant No. 366-172. We are grateful to the referee for his corrections and suggestions.

Funders	Funder number
Israel Science Foundation	366-172

Keywords

Discrepancy
Normal number
Uniform distribution

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10.4064/cm102-1-4

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Explicit construction of normal lattice configurations

Abstract

Bibliographical note

Funding

Keywords

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