1210.3462 (Michael Baake et al.)

Random noble means substitutions    [PDF]

Michael Baake, 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 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.

View original: http://arxiv.org/abs/1210.3462