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arXiv · 1210.3462

Random noble means substitutions

Michael Baake·Markus Moll
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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 Godr\`{e}che and Luck in 1989. We discuss the structure of the corresponding dynamical systems, and determine their entropy, an ergodic invariant measure and diffraction spectrum.

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Michael Baake, Markus Moll. 2012-10-12. Random noble means substitutions. https://arxiv.org/abs/1210.3462

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