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Counting Collisions in an $N$-Billiard System Using Angles Between Collision Subspaces. (arXiv:1810.05777v1 [math.DS])
来源于:arXiv
The principal angles between binary collision subspaces in an $N$-billiard
system in $m$-dimensional Euclidean space are computed. These angles are
computed for equal masses and arbitrary masses. We then provide a bound on the
number of collisions in the planar 3-billiard system problem. Comparison of
this result with known billiard collision bounds in lower dimensions is
discussed. 查看全文>>
