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When size matters: Subshifts and their related tiling spaces. (English) Zbl 1042.37008

The dynamics of tiling spaces associated to substitution subshifts are studied. Such a tiling system is not strongly mixing, and restrictions on the possible spectrum are found. The problem of deciding when two tiling spaces associated to the same substitution subshift are topologically conjugate is discussed.

MSC:

37B10 Symbolic dynamics
37B50 Multi-dimensional shifts of finite type, tiling dynamics (MSC2010)
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