Properties of a Ternary Infinite Word

Autor: Currie, James, Ochem, Pascal, Rampersad, Narad, Shallit, Jeffrey
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: We study the properties of the ternary infinite word p = 012102101021012101021012 ... , that is, the fixed point of the map h:0->01, 1->21, 2->0. We determine its factor complexity, critical exponent, and prove that it is 2-balanced. We compute its abelian complexity and determine the lengths of its bispecial factors. Finally, we give a characterization of p in terms of avoided factors.
Databáze: arXiv