On a Family of Random Noble Means Substitutions

• Authors: M. Moll
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

45.30.+s; 61.44.Br

Discipline

• 61.44.Br: Quasicrystals
• 45.30.+s: General linear dynamical systems(for nonlinear dynamical systems, see 05.45.-a)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2014
• Volume: 126
• Issue: 2
• Pages: 539-542

Dates

published

2014-08

Contributors

author

M. Moll

• Fakultät für Mathematik, Universität Bielefeld, Universitätsstraÿe 25, D-33615 Bielefeld, Germany

References

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Identifiers

DOI

10.12693/APhysPolA.126.539