Zeckendorf Representations and Mixing Properties of Sequences

• Main Authors: Mañibo, Neil, Miro, Eden Delight, Rust, Dan, Tadeo, Gwendolyn
• Format: text
• Published: Archīum Ateneo 2020
• Subjects: Zeckendorf representations; random substitutions; Fibonacci numbers; mixing; Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/198; https://projecteuclid.org/journals/tsukuba-journal-of-mathematics/volume-44/issue-2/Zeckendorf-representations-and-mixing-properties-of-sequences/10.21099/tkbjm/20204402251.short

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; tr...