Averages of automatic sequences
Copyright policy )Averages of automatic sequences
The authors are interested in the existence and computation of average and correlation function of (generalized) automatic sequences. They, in particular, give a precise sufficient condition for the existence of such means. This paper supersedes (part of) previous papers of the authors [J. Phys. A, Math. Gen. 38, No. 12, 2599--2622 (2005; Zbl 1116.11013) and J. Phys. A, Math. Gen. 37, No. 45, 10879--10898 (2004; Zbl 1085.11012)]. Please note that reference [10] appeared: the authors, Int. J. Bifurcation Chaos Appl. 17, 1265--1303 (2007; Zbl 1182.37019).
- Katholieke Universiteit Leuven Belgium
- KU Leuven Belgium
Automata sequences, Rudin-Shapiro sequence, Combinatorics on words, Measures of association (correlation, canonical correlation, etc.), Thue–Morse sequence, Substitution sequence, substitution sequence, Formal languages and automata, paperfolding sequence, Theoretical Computer Science, Paperfolding sequence, Correlation function, Automatic sequence, Rudin–Shapiro sequence, automatic sequence, correlation function, Thue-Morse sequence, Computer Science(all)
Automata sequences, Rudin-Shapiro sequence, Combinatorics on words, Measures of association (correlation, canonical correlation, etc.), Thue–Morse sequence, Substitution sequence, substitution sequence, Formal languages and automata, paperfolding sequence, Theoretical Computer Science, Paperfolding sequence, Correlation function, Automatic sequence, Rudin–Shapiro sequence, automatic sequence, correlation function, Thue-Morse sequence, Computer Science(all)
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