Topological Mixing of Random n-bonacci Substitutions
Document Type
Conference Proceeding
Publication Date
3-7-2024
Abstract
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.
Recommended Citation
Jim Ralphealo Mijares, Earl John Sinajon, Eden Delight Miro; Topological mixing of random n-bonacci substitutions. AIP Conf. Proc. 7 March 2024; 2895 (1): 080006. https://doi.org/10.1063/5.0192129
