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Title: A classification of the point spectrum of constant length substitution tiling spaces and general fixed point theorems for tilings
Author: Abuzaid, Dina Asaad
ISNI:       0000 0004 5924 0965
Awarding Body: University of Leicester
Current Institution: University of Leicester
Date of Award: 2016
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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 typical choice of length leads to trivial point spectrum. We also consider a problem related to tilings of the integers and their connection to fixed point theorems. Using this connection, we prove a generalization of the Banach Contraction Principle.
Supervisor: Clark, Alexander Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available