Infinite self-similar words

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Infinite self-shuffling words

In this paper we introduce and study a new property of infinite words: An infinite word x ∈ A, with values in a finite set A, is said to be k-self-shuffling (k ≥ 2) if x admits factorizations: x = ∏∞ i=0 U (1) i · · ·U (k) i = ∏∞ i=0 U (1) i = · · · = ∏∞ i=0 U (k) i . In other words, there exists a shuffle of k-copies of x which produces x. We are particularly interested in the case k = 2, in w...

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 1996

ISSN: 0012-365X

DOI: 10.1016/0012-365x(95)00297-a