When size matters: subshifts and their related tiling spaces
Dynamical Systems
2018-07-11 v2 Mathematical Physics
Metric Geometry
math.MP
Abstract
We investigate the dynamics of substitution subshifts and their associated tiling spaces. For a given subshift, the associated tiling spaces are all homeomorphic, but their dynamical properties may differ. We give criteria for such a tiling space to be weakly mixing, and for the dynamics of two such spaces to be topologically conjugate.
Cite
@article{arxiv.math/0201152,
title = {When size matters: subshifts and their related tiling spaces},
author = {Alex Clark and Lorenzo Sadun},
journal= {arXiv preprint arXiv:math/0201152},
year = {2018}
}
Comments
Updated 2018 to version published in 2003. 14 pages, no figures, LaTeX