A lower bound for the number of elastic collisions

Krzysztof Burdzy; Mauricio Duarte

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A lower bound for the number of elastic collisions

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arxiv 1803.00979 v2 pith:BPTS4OZI submitted 2018-03-02 math.DS math-phmath.MP

A lower bound for the number of elastic collisions

Krzysztof Burdzy , Mauricio Duarte This is my paper

classification math.DS math-phmath.MP

keywords boundcollisionselasticequallowernumberballsdimensional

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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 $n^2$.

A lower bound for the number of elastic collisions

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