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Symbolic coding Euclidean billiards.

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Symbolic coding Euclidean billiards.
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12
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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.