On the connectedness of the Rauzy fractal

If X is a reducible unimodular Pisot substitution, the Rauzy fractal associated to X can be studied using the strand space. In this dissertation we are going to provide a characterization of the connectedness of the Rauzy Fractal in terms of infinitely many graphs closely related to the proximal str...

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Bibliographic Details
Main Author: Soto-Banuelos, Adrian Ulises
Language:en
Published: 2012
Online Access:http://etd.lib.montana.edu/etd/2012/soto-banuelos/Soto-BanuelosA1212.pdf