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math.CO2019
The carry propagation of the successor function
Valérie Berthé, Christiane Frougny, Michel Rigo +1
Given any numeration system, we call carry propagation at a number the number of digits that are changed when going from the representation of to the one of , and amor…
math.CO2006
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…