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When size matters: subshifts and their related tiling spaces

Alex Clark·Lorenzo Sadun
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Abstract

We investigate the dynamics of substitution subshifts and their associated tiling spaces. For a given subshift, the associated tiling spaces are all homeomorphic, but their dynamical properties may differ. We give criteria for such a tiling space to be weakly mixing, and for the dynamics of two such spaces to be topologically conjugate.

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Alex Clark, Lorenzo Sadun. 2002-01-16. When size matters: subshifts and their related tiling spaces. https://arxiv.org/abs/math/0201152

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