Random noble means substitutions
Dynamical Systems
2018-10-24 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1210.3462,
title = {Random noble means substitutions},
author = {Michael Baake and Markus Moll},
journal= {arXiv preprint arXiv:1210.3462},
year = {2018}
}
Comments
8 pages, 1 figure; invited talk at Aperiodic 2012