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; tr...
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| Main Authors: | , , , |
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| Format: | text |
| Published: |
Archīum Ateneo
2020
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| Subjects: | |
| Online Access: | https://archium.ateneo.edu/mathematics-faculty-pubs/198 https://projecteuclid.org/journals/tsukuba-journal-of-mathematics/volume-44/issue-2/Zeckendorf-representations-and-mixing-properties-of-sequences/10.21099/tkbjm/20204402251.short |
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| Institution: | Ateneo De Manila University |
| Summary: | 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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