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Are there chaotic tilings?

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Abstract

We develop a class of examples in the form of tiling dynamical systems for use as toy models in statistical mechanics, to analyze the possible existence of disordered crystals. We give the first such models which are disordered in the sense of having no discrete spectrum.

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Authors and Affiliations

  1. Mathematics Department, University of Texas, 78712, Austin, TX, USA

    Daniel Berend & Charles Radin

  2. Department of Mathematics and Computer Science, Ben-Gurion University, 84105, Beer-Sheva, Israel

    Daniel Berend

Authors
  1. Daniel Berend
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  2. Charles Radin
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Additional information

Communicated by J.-P. Eckmann

Research supported in part by a grant from the Israel Science and Technology Ministry

Research supported in part by NSF Grant No. DMS-9001475

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Berend, D., Radin, C. Are there chaotic tilings?. Commun.Math. Phys. 152, 215–219 (1993). https://doi.org/10.1007/BF02098297

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  • DOI: https://doi.org/10.1007/BF02098297

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