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Examples of substitution systems and their factors

Baake, Michael; Gähler, Franz and Grimm, Uwe (2013). Examples of substitution systems and their factors. Journal of Integer Sequences, 16(2) pp. 1–18.

URL: https://cs.uwaterloo.ca/journals/JIS/VOL16/Baake/b...
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Abstract

The theory of substitution sequences and their higher-dimensional analogues is intimately connected with symbolic dynamics. By systematically studying the factors (in the sense of dynamical systems theory) of a substitution dynamical system, one can reach a better understanding of spectral and topological properties. We illustrate this point of view by means of some characteristic examples, including a rather universal substitution in one dimension as well as the squiral and the table tilings of the plane

Item Type: Journal Item
Copyright Holders: 2013 The authors
ISSN: 1530-7638
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 36779
Depositing User: Uwe Grimm
Date Deposited: 05 Mar 2013 11:03
Last Modified: 07 Dec 2018 10:14
URI: http://oro.open.ac.uk/id/eprint/36779
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