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December 2020 Zeckendorf representations and mixing properties of sequences
Neil Mañibo, Eden Delight P. Miro, Dan Rust, Gwendolyn S. Tadeo
Tsukuba J. Math. 44(2): 251-269 (December 2020). DOI: 10.21099/tkbjm/20204402251

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 Mañibo. Eden Delight P. Miro. Dan Rust. Gwendolyn S. Tadeo. "Zeckendorf representations and mixing properties of sequences." Tsukuba J. Math. 44 (2) 251 - 269, December 2020. https://doi.org/10.21099/tkbjm/20204402251

Information

Published: December 2020
First available in Project Euclid: 12 April 2021

Digital Object Identifier: 10.21099/tkbjm/20204402251

Subjects:
Primary: 11B39 , 37A25 , 37B10

Keywords: Fibonacci numbers , Mixing , random substitutions , Zeckendorf representations

Rights: Copyright © 2020 University of Tsukuba, Institute of Mathematics

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Vol.44 • No. 2 • December 2020
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