This article is cited in 11 papers

Estimate of the number of collisions of $n$ elastic particles on a line

M. B. Sevryuk

Institute of Energy Problems of Chemical Physics, Russian Academy of Sciences

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 of $n$ elastic particles on a line) in terms of a special geometrical characteristic of the angle.

Received: 19.06.1992

 English version: Theoretical and Mathematical Physics, 1993, 96:1, 818–826

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