Conjugacies for Tiling Dynamical Systems

Details Conjugacies for Tiling Dynamical Systems Conjugacies for Tiling Dynamical Systems

2003-07-18

arxiv.org/abs/math/0307259v1

Mathematics

Dynamical Systems

Plain TeX, 19 pages, including 5 embedded figures

Scientific paper

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.

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