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
Subjects:	Zeckendorf representations random substitutions Fibonacci numbers mixing Mathematics
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
record_format	eprints
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
_version_	1743177812088455168

Zeckendorf Representations and Mixing Properties of Sequences

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