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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].

MSC:

11B85 Automata sequences
28D99 Measure-theoretic ergodic theory
43-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to abstract harmonic analysis

Citations:

Zbl 0880.00009
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