Conjugacies for Tiling Dynamical Systems
Dynamical Systems
2018-07-18 v2 Mathematical Physics
Metric Geometry
math.MP
Abstract
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.
Cite
@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}
}
Comments
Updated to version accepted for publication