The Topological and Geometrical Properties of a Uniquely Ergodic Tiling System.
Abstract
We show that the topological entropy is zero for any uniquely ergodic tiling system of finite type with {bf R^{d}} action. We also show that there exists a new general phenomenon in aperiodic tiling systems, which we call deceptions.
- Publication:
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Ph.D. Thesis
- Pub Date:
- 1996
- Bibcode:
- 1996PhDT........72S
- Keywords:
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- Mathematics; Statistics; Physics: Condensed Matter