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: | , , |
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| Format: | text |
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Archīum Ateneo
2024
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| Subjects: | |
| 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 |
| Summary: | 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. |
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