Examples of substitution systems and their factors

Michael Baake; Franz Gähler; Uwe Grimm

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arXiv · 1211.5466

Examples of substitution systems and their factors

Michael Baake·Franz Gähler·Uwe Grimm

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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.

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Michael Baake, Franz Gähler, Uwe Grimm. 2013-02-07. Examples of substitution systems and their factors. https://arxiv.org/abs/1211.5466

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