On Estimates of the Number of Collisions for Billiards in Polyhedral Angles

Publication date: 8 October 2006

Abstract: We obtain an upper bound of the number of collisions of any billiard trajectory in a polyhedral angle in terms of the minimal eigenvalue of a positive definite matrix which characterizes the angle. Elements of the matrix are scalar products between the unit normal vectors of faces of the angle.

Mathematics Subject Classification ID

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