arXiv:1912.01573 Abstract | arXiv Analytics

arXiv:1912.01573 [math.DS]Abstract References Reviews Resources

Zeckendorf representations and mixing properties of sequences

Neil Manibo, Eden Miro, Dan Rust, Gwendolyn S. Tadeo

Published 2019-12-03Version 1

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.

Categories: math.DS, math.NT

Subjects: 11B39, 37A25, 37B10

Keywords: mixing properties, random substitutions, metallic mean numbers, respective numeration schemes, natural numbers

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