References & Citations
Mathematics > Dynamical Systems
Title: An improved upper bound on the number of billiard ball collisions
(Submitted on 21 Jul 2021 (v1), last revised 13 Nov 2021 (this version, v2))
Abstract: We give a new upper bound $K_+$ on the number of totally elastic collisions of $n$ hard spheres with equal radii and equal masses in $R^d$. Our bound satisfies $\log K_+ \leq c(d) n \log n$.
Submission history
From: Krzysztof Burdzy [view email][v1] Wed, 21 Jul 2021 21:45:24 GMT (10kb)
[v2] Sat, 13 Nov 2021 18:55:45 GMT (13kb,D)
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