Mauricio Duarte (UAB)

We will explore the behavior of systems of a large number of hard balls under elastic collisions. 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 $n^2$.