A Class of Two-Dimensional Model Sets from One-Dimensional Substitutions
Explore a mathematical lecture on two-dimensional model sets derived from one-dimensional substitutions. Delve into the Fibonacci symbolic substitution, cut-and-project schemes, and renormalization for windows. Examine Fibinoid direct product substitutions, inflate-and-subdivide rules, and 3D stepped surfaces. Investigate Fibonacci direct product substitutions, measure-theoretic situations, and 28 polygonal windows. Learn about Rauzy fractal islands, castles, and window comparisons. Discover Park-Robinson's Chacon Z action and non-Pisot direct product variations. Analyze finite local complexity and consider thought-provoking questions in this 49-minute talk by Natalie Frank from Vassar College, presented at the Fields Institute as part of a conference honoring Robert V. Moody's 80th birthday.