Zeckendorf Representations and Mixing Properties of Sequences
Document Type
Article
Publication Date
12-2020
Abstract
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.
Recommended Citation
Mañibo, Neil; Miro, Eden Delight; Rust, Dan; and Tadeo, Gwendolyn, (2020). Zeckendorf Representations and Mixing Properties of Sequences. Archīum.ATENEO.
https://archium.ateneo.edu/mathematics-faculty-pubs/198