Finitely Balanced Sequences and Plasticity of 1-Dimensional Tilings
Dynamical Systems
2015-03-25 v2
Abstract
We relate a balancing property of letters for bi-infinite sequences to the invariance of the resulting 1-dimensional tiling dynamics under changes in the lengths of the tiles. If the language of the sequence space is finitely balanced, then all length changes in the corresponding tiling space result in topological conjugacies, up to an overall rescaling.
Keywords
Cite
@article{arxiv.1501.05328,
title = {Finitely Balanced Sequences and Plasticity of 1-Dimensional Tilings},
author = {Lorenzo Sadun},
journal= {arXiv preprint arXiv:1501.05328},
year = {2015}
}
Comments
7 pages, no figures