<abstract xmlns="http://www.w3.org/1999/xhtml">

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

Insertion in Constructed Normal Numbers

Uniform distribution theory

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Insertion in Constructed Normal Numbers"}

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...

Insertion in Constructed Normal Numbers

Publié en ligne: 31 mai 2022

Pages: 55 - 76

Reçu: 31 mai 2021

Accepté: 03 mars 2022

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

Mots clés
normal numbers, de Bruijn sequences, combinatorics on words

© 2022 Verónica Becher, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Insertion in Constructed Normal Numbers

Publié en ligne: 31 mai 2022

Pages: 55 - 76

Reçu: 31 mai 2021

Accepté: 03 mars 2022

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

Mots clésnormal numbers, de Bruijn sequences, combinatorics on words

© 2022 Verónica Becher, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
normal numbers, de Bruijn sequences, combinatorics on words