Random noble means substitutions

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 1989. We discuss the structure of the corresponding dynamical systems, and determine their entropy, an ergodic invariant measure and diffraction spectrum.

8 pages, 1 figure; invited talk at Aperiodic 2012