A classification of the point spectrum of constant length substitution tiling spaces and general fixed point theorems for tilings

We examine the point spectrum of the various tiling spaces that result from different choices of tile lengths for substitution of constant length on a two or a three letter alphabet. In some cases we establish insensitivity to changes in length. In a wide range of cases, we establish that the typica...

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Bibliographic Details
Main Author: Abuzaid, Dina Asaad
Other Authors: Clark, Alexander
Published: University of Leicester 2016
Subjects:
510
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.682405