Logarithmic frequency in morphic sequences
type: Item
instance of: scholarly article
title: Logarithmic frequency in morphic sequences
zbMATH Open document ID: 1163.11020
author: Jason P. Bell
published in: Journal de Théorie des Nombres de Bordeaux
publication date: 2009-04-14T00:00:00Z
full work available at URL: https://eudml.org/doc/10834
review text: This paper answers a question raised by [\textit{J.-P. Allouche} and \textit{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 \textit{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.
reviewed by: Thomas B. Ward
Mathematics Subject Classification ID: 11B85
Mathematics Subject Classification ID: 37B10
Mathematics Subject Classification ID: 68R15
zbMATH DE Number: 5543160
zbMATH Keywords: Morphic sequence
zbMATH Keywords: logarithmic frequency
MaRDI profile type: Publication
OpenAlex ID: W2094975738
cites work: Automatic Sequences
cites work: Uniform tag sequences
cites work: Q4097906
cites work: About frequencies of letters in generalized automatic sequences
cites work: On the Frequency of Letters in Morphic Sequences
DOI: 10.5802/JTNB.625
description: scientific article; zbMATH DE number 5543160