Treffer: Squares and overlaps in the thue-morse sequence and some variants
Title:
Squares and overlaps in the thue-morse sequence and some variants
Authors:
Source:
Informatique théorique et applications (Imprimé). 40(3):473-484
Publisher Information:
Paris: EDP Sciences, 2006.
Publication Year:
2006
Physical Description:
print, 9 ref
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, Computer science, Informatique, Sciences exactes et technologie, Exact sciences and technology, Sciences appliquees, Applied sciences, Informatique; automatique theorique; systemes, Computer science; control theory; systems, Informatique théorique, Theoretical computing, Théorie des langages et analyse syntaxique, Language theory and syntactical analysis, Algorithmique. Calculabilité. Arithmétique ordinateur, Algorithmics. Computability. Computer arithmetics, Décimation, Decimation, Decimación, Informatique théorique, Computer theory, Informática teórica, Mot Thue Morse, Mot chevauchement libre, Overlap-free word, Séquence automatique, Automatic sequence, 68Q45, 68R15, Thue-Morse word, automatic sequence, overlap-free word
Document Type:
Konferenz
Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Digital Thinkery, 199 Carter Avenue, Waterloo, Ontario N2J 3K5, Canada
School of Computer Science, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada
School of Computer Science, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada
ISSN:
0988-3754
Rights:
Copyright 2006 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems
Accession Number:
edscal.18194041
Database:
PASCAL Archive
Weitere Informationen
We consider the position and number of occurrences of squares in the Thue-Morse sequence, and show that the corresponding sequences are 2-regular. We also prove that changing any finite but nonzero number of bits in the Thue-Morse sequence creates an overlap, and any linear subsequence of the Thue-Morse sequence (except those corresponding to decimation by a power of 2) contains an overlap.