A lower bound for the number of elastic collisions

22 May 2018 Burdzy Krzysztof Duarte Mauricio

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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  • DYNAMICAL SYSTEMS
  • MATHEMATICAL PHYSICS
  • MATHEMATICAL PHYSICS