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: Mañibo, Neil, Miro, Eden Delight, Rust, Dan, Tadeo, Gwendolyn
Format: text
Published: Archīum Ateneo 2020
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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
id ph-ateneo-arc.mathematics-faculty-pubs-1203
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spelling 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
country Philippines
Philippines
content_provider Ateneo De Manila University Library
collection archium.Ateneo Institutional Repository
topic Zeckendorf representations
random substitutions
Fibonacci numbers
mixing
Mathematics
spellingShingle 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
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