The Jewett-Krieger Construction for Tilings
Dynamical Systems
2010-11-04 v5 Information Theory
math.IT
Probability
Abstract
Given a random distribution of impurities on a periodic crystal, an equivalent uniquely ergodic tiling space is built, made of aperiodic, repetitive tilings with finite local complexity, and with configurational entropy close to the entropy of the impurity distribution. The construction is the tiling analog of the Jewett-Kreger theorem.
Keywords
Cite
@article{arxiv.0906.2997,
title = {The Jewett-Krieger Construction for Tilings},
author = {Ian Palmer and Jean Bellissard},
journal= {arXiv preprint arXiv:0906.2997},
year = {2010}
}
Comments
This paper has been withdrawn in order to address conceptual problems. It will be rewritten and resubmitted at a later date