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- W39885273 abstract "In this chapter, we prove the main theorem relative to the spectral study of primitive and aperiodic substitutions of length q or q-automata. Since only the continuous part of the spectrum has to be described, we may restrict our attention to pure substitutions without loss of generality (according to item 6.3.1.2); we shall get the following : the maximal spectral type is generated by k ≤ s probability measures which are strongly mixing with respect to the q-shift S q (in case the height is one). To get this result, we associate to the substitution ζ, a new substitution defined on A×A, the alphabet consisting in pairs of letters of A, and whose correlation matrix always enjoys wonderful properties." @default.
- W39885273 created "2016-06-24" @default.
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- W39885273 date "2010-01-01" @default.
- W39885273 modified "2023-09-24" @default.
- W39885273 title "Maximal Spectral Type of General Automata" @default.
- W39885273 doi "https://doi.org/10.1007/978-3-642-11212-6_10" @default.
- W39885273 hasPublicationYear "2010" @default.
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