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arXiv:math/0201152 [math.DS]AbstractReferencesReviewsResources

When size matters: subshifts and their related tiling spaces

Alex Clark, Lorenzo Sadun

Published 2002-01-16, updated 2018-07-09Version 2

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.

Comments: Updated 2018 to version published in 2003. 14 pages, no figures, LaTeX
Journal: Ergodic Theory and Dynamical Systems 23 (2003) 1043-1057
Categories: math.DS, math-ph, math.MG, math.MP
Subjects: 52C23, 37A25, 37A30, 37A10, 37B10
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