Abstract
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.
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Acknowledgements
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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Baake, M., Moll, M. (2013). Random Noble Means Substitutions. In: Schmid, S., Withers, R., Lifshitz, R. (eds) Aperiodic Crystals. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6431-6_3
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DOI: https://doi.org/10.1007/978-94-007-6431-6_3
Publisher Name: Springer, Dordrecht
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