Reducible substitutions: The geometry of cobounds/height
1 : The University the West Indies
(UWI)
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We look at the notion of "height of a constant length substitution" (compare Dekking '78), respectively "cobounds of a primitive substitution" (compare Ferenczi-Mauduit-Nogueira '96) from a geometrical and number-theoretic viewpoint. This allows us to better understand the calculation of the spectrum of the associated dynamical systems, and also see under which condition we can reduce the height. Appropriate examples of substitions, and one- and two-dimensional substitution tilings will be given.