Topological Mixing of Random n-bonacci Substitutions

We consider shift spaces generated by maps that send a letter from a finite alphabet to a finite collection of words over the same alphabet called random substitutions. In particular, we study the topological dynamics of the shift spaces associated with the family of random n-bonacci substitutions,...

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Main Authors:	Mijares, Jim Ralphealo, Sinajon, Earl John, Miro, Eden Delight
Format:	text
Published:	Archīum Ateneo 2024
Subjects:	Applied Mathematics Discrete Mathematics and Combinatorics Mathematics Physical Sciences and Mathematics
Online Access:	https://archium.ateneo.edu/mathematics-faculty-pubs/252 https://doi.org/10.1063/5.0192129
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Institution:	Ateneo De Manila University

id	ph-ateneo-arc.mathematics-faculty-pubs-1253
record_format	eprints
spelling	ph-ateneo-arc.mathematics-faculty-pubs-12532024-04-15T07:34:11Z Topological Mixing of Random n-bonacci Substitutions Mijares, Jim Ralphealo Sinajon, Earl John Miro, Eden Delight We consider shift spaces generated by maps that send a letter from a finite alphabet to a finite collection of words over the same alphabet called random substitutions. In particular, we study the topological dynamics of the shift spaces associated with the family of random n-bonacci substitutions, which is a generalization of the random Fibonacci substitution. We establish that the random n-bonacci shift spaces are not topologically mixing by showing that the substitution admits recognisable words at every level through a specialized construction. 2024-03-07T08:00:00Z text https://archium.ateneo.edu/mathematics-faculty-pubs/252 https://doi.org/10.1063/5.0192129 Mathematics Faculty Publications Archīum Ateneo Applied Mathematics Discrete Mathematics and Combinatorics Mathematics Physical Sciences and 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	Applied Mathematics Discrete Mathematics and Combinatorics Mathematics Physical Sciences and Mathematics
spellingShingle	Applied Mathematics Discrete Mathematics and Combinatorics Mathematics Physical Sciences and Mathematics Mijares, Jim Ralphealo Sinajon, Earl John Miro, Eden Delight Topological Mixing of Random n-bonacci Substitutions
description	We consider shift spaces generated by maps that send a letter from a finite alphabet to a finite collection of words over the same alphabet called random substitutions. In particular, we study the topological dynamics of the shift spaces associated with the family of random n-bonacci substitutions, which is a generalization of the random Fibonacci substitution. We establish that the random n-bonacci shift spaces are not topologically mixing by showing that the substitution admits recognisable words at every level through a specialized construction.
format	text
author	Mijares, Jim Ralphealo Sinajon, Earl John Miro, Eden Delight
author_facet	Mijares, Jim Ralphealo Sinajon, Earl John Miro, Eden Delight
author_sort	Mijares, Jim Ralphealo
title	Topological Mixing of Random n-bonacci Substitutions
title_short	Topological Mixing of Random n-bonacci Substitutions
title_full	Topological Mixing of Random n-bonacci Substitutions
title_fullStr	Topological Mixing of Random n-bonacci Substitutions
title_full_unstemmed	Topological Mixing of Random n-bonacci Substitutions
title_sort	topological mixing of random n-bonacci substitutions
publisher	Archīum Ateneo
publishDate	2024
url	https://archium.ateneo.edu/mathematics-faculty-pubs/252 https://doi.org/10.1063/5.0192129
_version_	1797546533311217664

Topological Mixing of Random n-bonacci Substitutions

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