Uniform Distribution Theory
Journal license

Journal

Uniform Distribution Theory


Volume
& Issue

Volume 17, Issue 1


Published
on

March 3, 2022


Pages

117-139


DOI

Article

Insertion in Constructed Normal Numbers


Authors

Veronica Becher Affiliation:
Departamento de Computacion & ICC Facultad de Ciencias Exactas y Naturales Universidad de Buenos Aires & CONICET Edificio Cero mas Infinito, Ciudad Universitaria 1428- Buenos Aires ARGENTINA


Abstract

Defined by Borel, a real number is normal to an integer base b ≥ 2 if in its base-b expansion every block of digits occurs with the same limiting frequency as every other block of the same length. We consider the problem of insertion in constructed base-b normal expansions to obtain normality to base (b + 1).


Keywords

normal numbers, de Bruijn sequences, combinatorics on words.


Citation

Becher, V. (2022). Insertion in constructed normal numbers. Uniform Distribution Theory, 17(1), 117–139. https://doi.org/10.2478/UDT-2022-0008
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