Publications in Scientific Journals:
M. Drmota, C. Mauduit, J. Rivat:
"Normality among Squares";
Journal of the European Mathematical Society,
21
(2019),
2;
507
- 548.
English 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.
Keywords:
Normal sequences, Thue-Morse sequence, exponential sums, correlation
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.4171/JEMS/843
Created from the Publication Database of the Vienna University of Technology.