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arXiv · 1912.01573

Zeckendorf representations and mixing properties of sequences

Neil Manibo·Eden Miro·Dan Rust·Gwendolyn S. Tadeo
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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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Neil Manibo, Eden Miro, Dan Rust, Gwendolyn S. Tadeo. 2019-12-03. Zeckendorf representations and mixing properties of sequences. https://arxiv.org/abs/1912.01573

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