Normality along squares
- 25 October 2018
- journal article
- research article
- Published by European Mathematical Society - EMS - Publishing House GmbH in Journal of the European Mathematical Society
- Vol. 21 (2), 507-548
- https://doi.org/10.4171/jems/843
Abstract
The goal of this work is to show a first example of an almost periodic zero entropy sequence (in the sense of symbolic dynamical systems) whose subsequence along squares is a normal sequence. As an application, this provides a new method to produce normal numbers in a given base.This publication has 3 references indexed in Scilit:
- Prime numbers along Rudin–Shapiro sequencesJournal of the European Mathematical Society, 2015
- La somme des chiffres des carrésActa Mathematica, 2009
- On the subword complexity of Thue–Morse polynomial extractionsTheoretical Computer Science, 2007