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arXiv:math/0307259 [math.DS]AbstractReferencesReviewsResources

Conjugacies for Tiling Dynamical Systems

Charles Holton, Charles Radin, Lorenzo Sadun

Published 2003-07-18, updated 2018-07-09Version 2

We consider tiling dynamical systems and topological conjugacies between them. We prove that the criterion of being finite type is invariant under topological conjugacy. For substitution tiling systems under rather general conditions, including the Penrose and pinwheel systems, we show that substitutions are invertible and that conjugacies are generalized sliding block codes.

Comments: Updated to version accepted for publication
Journal: Communications in Mathematical Physics 254 (2005) 343-359
Categories: math.DS, math-ph, math.MG, math.MP
Subjects: 37B50, 52C23, 37C15, 37C80
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