Title

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.

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