Examples of Substitution Systems and Their Factors
Michael Baake and Franz Gähler
Fakultät für Mathematik
Department of Mathematics and Statistics
The Open University
Milton Keynes MK7 6AA
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.
Full version: pdf,
Received August 15 2012;
revised version received December 10 2012.
Published in Journal of Integer Sequences, March 2 2013.
Journal of Integer Sequences home page