Abstract | ||
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We give some sufficient criteria for the existence of certain averages (mean, correlation functions) of generalized higher-dimensional automatic sequences and show how to calculate these averages. Then follows an exploration of the nature of necessary and sufficient conditions for the existence of averages. Some of these criteria are applied to averages which play a central role in the determination of the correlation function of an automatic sequence. |
Year | DOI | Venue |
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2006 | 10.1016/j.tcs.2006.04.001 | Theor. Comput. Sci. |
Keywords | DocType | Volume |
sufficient condition,68Q45,generalized higher-dimensional automatic sequence,Rudin–Shapiro sequence,certain average,Automatic sequence,automatic sequence,sufficient criterion,correlation function,Substitution sequence,central role,Thue–Morse sequence,Correlation function,11B85,Paperfolding sequence | Journal | 359 |
Issue | ISSN | Citations |
1 | Theoretical Computer Science | 0 |
PageRank | References | Authors |
0.34 | 3 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
A. Barbé | 1 | 1 | 1.41 |
F. von Haeseler | 2 | 27 | 5.44 |