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When size matters: subshifts and their related tiling spaces

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arxiv math/0201152 v2 pith:TNZ7DECG submitted 2002-01-16 math.DS math-phmath.MGmath.MP

Alex Clark , Lorenzo Sadun This is my paper · ORCID
classification math.DSmath-phmath.MGmath.MP
keywords spacestilingassociateddynamicssubshiftsconjugatecriteriadiffer
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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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  1. Exact renormalisation for patch frequencies in inflation systems

    math.DS 2025-07 conditional novelty 6.0 of 10

    Exact renormalisation equations yield the relative frequency of any patch in a primitive substitution tiling, with transfer to symbolic and other suspension systems.

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