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math.CO2024
2-balanced sequences coding rectangle exchange transformation
Lubomíra Dvořáková, Zuzana Masáková, Edita Pelantová
We define a new class of ternary sequences that are 2-balanced. These sequences are obtained by colouring of Sturmian sequences. We show that the class contains sequences of any gi…
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…