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Some examples of automorphisms with rank R and simple spectrum. (English) Zbl 0675.28006
It has been proved by A. del Junco that the Morse dynamical system has simple spectrum and rank 2 [Can. J. Math. 29, 655-663 (1977; Zbl 0335.28010)]. In this paper it is shown for any integer $$r\geq 2$$, that the bijective substitution on r symbols which naturally generalizes the Morse substitution generates a system with simple spectrum and rank r.

##### MSC:
 28D05 Measure-preserving transformations