Theoretical and Mathematical Physics

, Volume 96, Issue 1, pp 818–826 | Cite as

Estimate of the number of collisions ofn elastic particles on a line

  • M. B. Sevryuk
Article

Abstract

An explicit upper bound is obtained for the number of reflections of a billiard trajectory in a multidimensional polyhedral angle (in particular, for the number of collisions ofn elastic particles on a line) in terms of a special geometrical characteristic of the angle.

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Copyright information

© Plenum Publishing Corporation 1994

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  • M. B. Sevryuk

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