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An improved upper bound on the number of billiard ball collisions
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An improved upper bound on the number of billiard ball collisions
classification
math.DS
keywords
boundcollisionsequalnumberupperballbilliardelastic
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We give a new upper bound $K_+$ on the number of totally elastic collisions of $n$ hard spheres with equal radii and equal masses in $R^d$. Our bound satisfies $\log K_+ \leq c(d) n \log n$.
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