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arXiv · 1803.00979

A lower bound for the number of elastic collisions

Krzysztof Burdzy·Mauricio Duarte
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Abstract

We prove by example that the number of elastic collisions of $n$ balls of equal mass and equal size in $d$-dimensional space can be greater than $n^3/27$ for $n\geq 3$ and $d\geq 2$. The previously known lower bound was of order $n^2$.

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Krzysztof Burdzy, Mauricio Duarte. 2018-03-02. A lower bound for the number of elastic collisions. https://doi.org/10.1007/s00220-019-03399-3

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