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2014 | 126 | 2 | 539-542
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On a Family of Random Noble Means Substitutions

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In 1989, Godrèche and Luck introduced the concept of local mixtures of primitive substitution rules along the example of the well-known Fibonacci substitution and foreshadowed heuristic results on the topological entropy and the spectral type of the diffraction measure of associated point sets. In this contribution, we present a generalisation of this concept by regarding the so-called "noble means families", each consisting of finitely many primitive substitution rules that individually all define the same two-sided discrete dynamical hull. We report about results in the randomised case on topological entropy, ergodicity of the two-sided discrete hull, and the spectral type of the diffraction measure of related point sets.
  • Fakultät für Mathematik, Universität Bielefeld, Universitätsstraÿe 25, D-33615 Bielefeld, Germany
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