20 citations · 20 across the 4 of their papers we have counts for
4 papers
Minimal weight expansions in Pisot bases
Christiane Frougny, Wolfgang Steiner
For applications to cryptography, it is important to represent numbers with a small number of non-zero digits (Hamming weight) or with small absolute sum of digits. The problem of…
On univoque Pisot numbers
J. -P. Allouche, C. Frougny, K. G. Hare
We study Pisot numbers which are univoque, i.e., such that there exists only one representation of 1 as , with . We p…
On alpha-adic expansions in Pisot bases
P. Ambroz, C. Frougny
We study -adic expansions of numbers in an extension field, that is to say, left infinite representations of numbers in the positional numeration system with the base , where…
Palindromic complexity of infinite words associated with simple Parry numbers
Petr Ambrož, Christiane Frougny, Zuzana Masáková +1
A simple Parry number is a real number β>1 such that the Rényi expansion of 1 is finite, of the form d_β(1)=t_1...t_m. We study the palindromic structure of infinite aperiodic word…