Topological Semi-Mixing of Random n-bonacci Substitutions

We consider shift spaces generated by maps, called random substitutions, that send a letter from a finite alphabet to a finite collection of words over the same alphabet. Specifically, we study the dynamics of the shift spaces generated by the family of random n-bonacci substitutions, which is a gen...

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Main Authors:	Mijares, Jim Ralphealo, Sinajon, Earl John, Miro, Eden Delight
Format:	text
Published:	Archīum Ateneo 2024
Subjects:	Discrete Mathematics and Combinatorics Mathematics Physical Sciences and Mathematics
Online Access:	https://archium.ateneo.edu/mathematics-faculty-pubs/258 https://doi.org/10.1063/5.0192544
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Institution:	Ateneo De Manila University

id	ph-ateneo-arc.mathematics-faculty-pubs-1259
record_format	eprints
spelling	ph-ateneo-arc.mathematics-faculty-pubs-12592024-04-15T07:34:43Z Topological Semi-Mixing of Random n-bonacci Substitutions Mijares, Jim Ralphealo Sinajon, Earl John Miro, Eden Delight We consider shift spaces generated by maps, called random substitutions, that send a letter from a finite alphabet to a finite collection of words over the same alphabet. Specifically, we study the dynamics of the shift spaces generated by the family of random n-bonacci substitutions, which is a generalization of the famous Fibonacci substitution. Using a numeration system derived from a sequence of lengths, we show that, although such shift spaces are known to be non-mixing, they satisfy a weaker condition called semi-mixing. 2024-01-24T08:00:00Z text https://archium.ateneo.edu/mathematics-faculty-pubs/258 https://doi.org/10.1063/5.0192544 Mathematics Faculty Publications Archīum Ateneo 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	Discrete Mathematics and Combinatorics Mathematics Physical Sciences and Mathematics
spellingShingle	Discrete Mathematics and Combinatorics Mathematics Physical Sciences and Mathematics Mijares, Jim Ralphealo Sinajon, Earl John Miro, Eden Delight Topological Semi-Mixing of Random n-bonacci Substitutions
description	We consider shift spaces generated by maps, called random substitutions, that send a letter from a finite alphabet to a finite collection of words over the same alphabet. Specifically, we study the dynamics of the shift spaces generated by the family of random n-bonacci substitutions, which is a generalization of the famous Fibonacci substitution. Using a numeration system derived from a sequence of lengths, we show that, although such shift spaces are known to be non-mixing, they satisfy a weaker condition called semi-mixing.
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 Semi-Mixing of Random n-bonacci Substitutions
title_short	Topological Semi-Mixing of Random n-bonacci Substitutions
title_full	Topological Semi-Mixing of Random n-bonacci Substitutions
title_fullStr	Topological Semi-Mixing of Random n-bonacci Substitutions
title_full_unstemmed	Topological Semi-Mixing of Random n-bonacci Substitutions
title_sort	topological semi-mixing of random n-bonacci substitutions
publisher	Archīum Ateneo
publishDate	2024
url	https://archium.ateneo.edu/mathematics-faculty-pubs/258 https://doi.org/10.1063/5.0192544
_version_	1797546534564265984

Topological Semi-Mixing of Random n-bonacci Substitutions

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