The Jewett-Krieger Construction for Tilings

Details The Jewett-Krieger Construction for Tilings The Jewett-Krieger Construction for Tilings

2009-06-16

arxiv.org/abs/0906.2997v5

Mathematics

Dynamical Systems

This paper has been withdrawn in order to address conceptual problems.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

Scientific paper

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.

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