Properties of geometrical realizations of substitutions associated to a family of Pisot numbers

In this thesis we study some properties of the geometrical realizations of the dynalnical systelns that arise from the family of Pisot substitutions: 1 →- 12 11n : 2 → 13 (n-1) → 1n n →1 for n a positive integer greater than 2. In chapter 1 we COlllpute the Holder exponent of the Arnoux Inap, which...

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Bibliographic Details
Main Author: Sirvent, Víctor F.
Published: University of Warwick 1983
Subjects:
510
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.386900