Geodesic
Counting Collisions in an $N$-Billiard System Using Angles Between Collision Subspaces
Symmetry, integrability and geometry: methods and applications, Tome 16 (2020) Cet article a éte moissonné depuis la source Math-Net.Ru

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The principal angles between binary collision subspaces in an $N$-billiard system in $d$-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.
Keywords: mathematical billiards, angles between subspaces, counting collisions. 
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     author = {Sean Gasiorek},
     title = {Counting {Collisions} in an $N${-Billiard} {System} {Using} {Angles} {Between} {Collision} {Subspaces}},
     journal = {Symmetry, integrability and geometry: methods and applications},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a118/}
}
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Sean Gasiorek. Counting Collisions in an $N$-Billiard System Using Angles Between Collision Subspaces. Symmetry, integrability and geometry: methods and applications, Tome 16 (2020). http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a118/

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