ESTIMATE OF THE NUMBER OF COLLISIONS OF N ELASTIC PARTICLES ON A LINE

Authors
SEVRYUK MB
Citation
Mb. Sevryuk, ESTIMATE OF THE NUMBER OF COLLISIONS OF N ELASTIC PARTICLES ON A LINE, Theoretical and mathematical physics, 96(1), 1993, pp. 818-826
Citations number
16
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Theoretical and mathematical physics → ACNP
ISSN journal
00405779
Volume
96
Issue
1
Year of publication
1993
Pages
818 - 826
Database
ISI
SICI code
0040-5779(1993)96:1<818:EOTNOC>2.0.ZU;2-#
Abstract
An explicit upper bound is obtained for the number of reflections of a billiard trajectory in a multidimensional polyhedral angle (in partic ular, for the number of collisions of n elastic particles on a line) i n terms of a special geometrical characteristic of the angle.