Conjugacies for Tiling Dynamical Systems
动力系统
2018-07-18 v2 数学物理
度量几何
math.MP
摘要
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.
引用
@article{arxiv.math/0307259,
title = {Conjugacies for Tiling Dynamical Systems},
author = {Charles Holton and Charles Radin and Lorenzo Sadun},
journal= {arXiv preprint arXiv:math/0307259},
year = {2018}
}
备注
Updated to version accepted for publication