The Jewett-Krieger Construction for Tilings

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.

This paper has been withdrawn in order to address conceptual problems. It will be rewritten and resubmitted at a later date

References in corpus (2)

• Non Commutative Geometry of Tilings and Gap Labelling
• The Local Structure of Tilings and their Integer Group of Coinvariants