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Morphic and automatic words: maximal blocks and Diophantine approximation. (English) Zbl 1233.68184

The authors analyze the structure of \(\Delta\)-blocks in pure morphic words. The results are applied to morphic words. For a given Perron number \(\mu\geq 2\), a morphic number \(\xi\) in \(\mathbb C\) such that \(\mu(\xi)=\mu\) is constructed.

MSC:

68R15 Combinatorics on words
11J99 Diophantine approximation, transcendental number theory