A lower bound for the number of elastic collisions

arxiv: 1803.00979 · v2 · pith:BPTS4OZInew · submitted 2018-03-02 · 🧮 math.DS · math-ph· math.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 $n^2$.

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A lower bound for the number of elastic collisions

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