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

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dc.creatorChen, Lizhou
dc.date2006-10-08
dc.date.accessioned2026-07-07T07:28:50Z
dc.date.available2026-07-07T07:28:50Z
dc.descriptionWe 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.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/0610257
dc.identifierhttp://arxiv.org/abs/math/0610257
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117881
dc.subjectDynamical Systems
dc.subject58F15, (28A65)
dc.titleOn Estimates of the Number of Collisions for Billiards in Polyhedral Angles
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