Counting Collisions in an -Billiard System Using Angles Between Collision Subspaces

The principal angles between binary collision subspaces in an -billiard system in -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 thi...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2020
Main Author: Gasiorek, Sean
Format: Article
Language:English
Published: Інститут математики НАН України 2020
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211001
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Counting Collisions in an -Billiard System Using Angles Between Collision Subspaces. Sean Gasiorek. SIGMA 16 (2020), 119, 13 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine