序列的Zeckendorf表示和混合性质

IF 0.3 Q4 MATHEMATICS

Tsukuba Journal of Mathematics Pub Date : 2019-12-03 DOI:10.21099/TKBJM/20204402251

Neil Mañibo, E. Miro, D. Rust, Gwendolyn S. Tadeo

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引用次数: 2

摘要

我们使用自然数的广义Zeckendorf表示来研究符号动力系统的混合性质。我们考虑的系统由双无穷序列组成，这些序列与所谓的随机替换有关。我们关注与斐波那契、三波那契和金属平均数相关的随机替换，并利用它们各自的计算方案。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Zeckendorf representations and mixing properties of sequences

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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来源期刊

Tsukuba Journal of Mathematics MATHEMATICS-

自引率

14.30%

发文量