When size matters: subshifts and their related tiling spaces

Mathematics – Dynamical Systems

Scientific paper

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14 pages, no figures, LaTeX

Scientific paper

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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