Conjugacies for Tiling Dynamical Systems

被引:0
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作者
Charles Holton
Charles Radin
Lorenzo Sadun
机构
[1] University of Texas,Department of Mathematics
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Neural Network; Dynamical System; Statistical Physic; Complex System; General Condition;
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摘要
We consider tiling dynamical systems and topological conjugacies between them. We prove that the criterion of being of 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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页码:343 / 359
页数:16
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