Zeckendorf representations and mixing properties of sequences
Neil Mañibo, Eden Delight Miro, D. M. Rust, Gwendolyn S. Tadeo · Tsukuba Journal of Mathematics · 2020
We use generalised Zeckendorf representations of natural numbers to investigate mixing properties of symbolic dynamical systems. The systems we consider consist of bi-infinite sequences associated with so-called random substitutions. We focus on random substitutions associated with the Fibonacci, tribonacci and metallic mean numbers and take advantage of their respective numeration schemes.