Mixing of Random Substitutions

• Main Author: Tadeo, Gwendolyn
• Format: text
• Published: Archīum Ateneo 2019
• Subjects: topological mixing, random substitution, Fibonacci substitution, Pisot sub- stitution
• Online Access: https://archium.ateneo.edu/theses-dissertations/449
• Institution: Ateneo De Manila University

This dissertation investigates mixing properties of compatible random substitutions on two letters. The characterization of the mixing properties of this class of substitu- tions relies on the second eigenvalue of the associated substitution matrix. We present necessary and sufficient conditions for...