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Journal

Uniform Distribution Theory (UDT)


Volume & Issue

UDT. Volume 17. Issue 1


Published on

June, 2022


Pages

55-76


DOI

https://doi.org/10.2478/udt-2022-0008

Article

Insertion in Constructed Normal Numbers


Authors

Verónica Becher


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).


Citation

Becher, V. (2022). Insertion in Constructed Normal Numbers. Uniform distribution theory, 17(1), 55-76. https://doi.org/10.2478/udt-2022-0008