Random Noble Means Substitutions

  • Michael BaakeEmail author
  • Markus Moll


The random local mixture of a family of primitive substitution rules with noble mean inflation multiplier is investigated. This extends the random Fibonacci example that was introduced by Godrèche and Luck in (J. Stat. Phys. 55:1–28, 1989). We discuss the structure of the corresponding dynamical systems, and determine the entropy, an ergodic invariant measure and diffraction spectra.


Topological Entropy Substitution Matrix Pure Point Random Dynamical System Substitution Rule 
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We thank Uwe Grimm and Johan Nilsson for discussions. This work was supported by the German Research Council (DFG), within the CRC 701.


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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Fakultät für MathematikUniversität BielefeldBielefeldGermany

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