More characterizations of morphic words
Abstract
An interesting phenomenon in combinatorics on words is when every recurrent word satisfying some avoidance constraints has the same factor set as a morphic word. An early example is the Hall-Thue word, fixed point of the morphism 0012, 102, 21, which is essentially the only ternary word avoiding squares and the words 010 and 212. We provide some examples of this phenomenon from various contexts.
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