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Zbl 1163.11020
Bell, Jason P.
Logarithmic frequency in morphic sequences. (English)
[J] J. Théor. Nombres Bordx. 20, No. 2, 227-241 (2008). ISSN 1246-7405

This paper answers a question raised by [{\it J.-P. Allouche} and {\it J. Shallit}, Automatic sequences. Theory, applications, generalizations. Cambridge: Cambridge University Press (2003; Zbl 1086.11015)] by showing that the logarithmic frequency of letters appearing in a morphic sequence always exists. This extends a result of {\it A. Cobham} [Math. Syst. Theory 6, 164--192 (1972; Zbl 0253.02029)] showing that the logarithmic frequency of letters appearing in an automatic sequence always exists, while the natural frequency need not exist.
[Thomas Ward (Norwich)]

MSC 2000:: *11B85 Automata sequences
37B10 Symbolic dynamics
68R15 Combinatorics on words

Keywords: Morphic sequence; logarithmic frequency

Citations: Zbl 1086.11015; Zbl 0253.02029

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