02-22 Alex Clark and Lorenzo Sadun

When Size Matters: Subshifts and Their Related Tiling Spaces (55K, LaTeX, no figures) Jan 16, 02

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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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