Combinatorial and Topological Properties of a Family of Random Substitutions

• Main Author: Escolano, Giovanni
• Format: text
• Published: Archīum Ateneo 2020
• Subjects: Pisot substitution, random substitution, semi-mixing, topological mixing.
• Online Access: https://archium.ateneo.edu/theses-dissertations/530
• Institution: Ateneo De Manila University

The combinatorial and topological properties of a large family of random substi- tutions, called the noble Pisa random substitutions, are studied. It is shown that each member of this family is a primitive irreducible Pisot random substitution. Using a specialised construction, a sufficient conditio...