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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Archīum Ateneo
2020
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ph-ateneo-arc.mathematics-faculty-pubs-12032022-08-21T08:53:40Z Zeckendorf Representations and Mixing Properties of Sequences Mañibo, Neil Miro, Eden Delight Rust, Dan Tadeo, Gwendolyn 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. 2020-12-01T08:00:00Z text 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 Mathematics Faculty Publications Archīum Ateneo Zeckendorf representations random substitutions Fibonacci numbers mixing Mathematics |
| institution |
Ateneo De Manila University |
| building |
Ateneo De Manila University Library |
| continent |
Asia |
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Philippines Philippines |
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Ateneo De Manila University Library |
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Zeckendorf representations random substitutions Fibonacci numbers mixing Mathematics |
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Zeckendorf representations random substitutions Fibonacci numbers mixing Mathematics Mañibo, Neil Miro, Eden Delight Rust, Dan Tadeo, Gwendolyn Zeckendorf Representations and Mixing Properties of Sequences |
| description |
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. |
| format |
text |
| author |
Mañibo, Neil Miro, Eden Delight Rust, Dan Tadeo, Gwendolyn |
| author_facet |
Mañibo, Neil Miro, Eden Delight Rust, Dan Tadeo, Gwendolyn |
| author_sort |
Mañibo, Neil |
| title |
Zeckendorf Representations and Mixing Properties of Sequences |
| title_short |
Zeckendorf Representations and Mixing Properties of Sequences |
| title_full |
Zeckendorf Representations and Mixing Properties of Sequences |
| title_fullStr |
Zeckendorf Representations and Mixing Properties of Sequences |
| title_full_unstemmed |
Zeckendorf Representations and Mixing Properties of Sequences |
| title_sort |
zeckendorf representations and mixing properties of sequences |
| publisher |
Archīum Ateneo |
| publishDate |
2020 |
| url |
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 |
| _version_ |
1743177812088455168 |