Queffelec, Martine Spectral study of automatic and substitutive sequences. (English) Zbl 0881.11027 Axel, Françoise (ed.) et al., Beyond quasicrystals. Papers of the winter school, Les Houches, France, March 7-18, 1994. Berlin: Springer-Verlag. 369-414 (1995). Automatic and substitutive sequences are considered as a paradigm of the hierarchy of ordered systems between periodic and random, and analyzed with means from spectral theory and ergodic systems. This way, a spectral classification of sequences is derived which is based upon the frequency of two given letters at a fixed distance. Relations to other concepts are briefly discussed.For the entire collection see [Zbl 0880.00009]. Reviewer: M.Baake (Tübingen) Cited in 2 Documents MSC: 11B85 Automata sequences 28D99 Measure-theoretic ergodic theory 43-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to abstract harmonic analysis Keywords:automatic sequences; substitutive sequences; ordered systems; spectral theory; ergodic systems Citations:Zbl 0880.00009 PDFBibTeX XMLCite \textit{M. Queffelec}, in: Beyond quasicrystals. Papers of the winter school, Les Houches, France, March 7-18, 1994. Berlin: Springer-Verlag; Les Ulis: Les Editions de Physique. 369--414 (1995; Zbl 0881.11027)