On a Family of Morphic Images of Arnoux-Rauzy Words

Abstract. In this paper we prove the following result. Let s be an infinite word on a finite alphabet, and N ≥ 0 be an integer. Suppose that all left special factors of s longer than N are prefixes of s, and that s has at most one right special factor of each length greater than N. Then s is a morphic image, under an injective morphism, of a suitable standard Arnoux-Rauzy word.

• Type: Conference
• Year: 2009
• Where: LATA
• Authors: Michelangelo Bucci, Alessandro De Luca
• Keywords: Automata Theory, Infinite Word, LATA 2009, Right Special Factor, Special Factor