SymDyn - Lecture 09/24/2026

Circle rotations, square billiards, and geodesic flows on a flat 2-torus; their minimality. Cutting sequences are Sturmian. Some basic properties of Sturmian sequences, special factors. Sturmian = balanced and not eventually periodic. Sturmian sequences are rotation sequences. Bi-infinite Sturmian sequences. Classification of balanced periodic sequences. Recoding map and coding sequences.