Symbolic coding Euclidean billiards.
Christopher J. Leininger · Open Collections · 2019
In this talk I'll explain how the shape of a Euclidean polygon is essentially determined by the symbolic coding of the "generalized diagonal" billiard trajectories. The bulk of the talk will involve the reduction of this theorem to a rigidity result for flat surfaces. This is joint work with Moon Duchin, Viveka Erlandsson, and Chandrika Sadanand.