Topological Mixing of Random n-bonacci Substitutions

• المؤلفون الرئيسيون: Mijares, Jim Ralphealo, Sinajon, Earl John, Miro, Eden Delight
• التنسيق: text
• منشور في: Archīum Ateneo 2024
• الموضوعات: Applied Mathematics; Discrete Mathematics and Combinatorics; Mathematics; Physical Sciences and Mathematics
• الوصول للمادة أونلاين: https://archium.ateneo.edu/mathematics-faculty-pubs/252; https://doi.org/10.1063/5.0192129

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.