Zeckendorf Representations and Mixing Properties of Sequences
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.
Mañibo, N., Miro, E. D. P., Rust, D., & Tadeo, G. S. (2020). Zeckendorf representations and mixing properties of sequences. Tsukuba Journal of Mathematics, 44(2), 251–269. https://doi.org/10.21099/tkbjm/20204402251