Similarity density of the Thue-Morse word with overlap-free infinite binary words

We consider a measure of similarity for infinite words that generalizes the notion of asymptotic or natural density of subsets of natural numbers from number theory. We show that every overlap-free infinite binary word, other than the Thue-Morse word t and its complement t bar, has this measure of s...

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Bibliographic Details
Main Authors: Chen Fei Du, Jeffrey Shallit
Format: Article
Language:English
Published: Open Publishing Association 2014-05-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1405.5605v1