Abstract
It is proved that the maximum number of collisions among three identical hard spheres in more than one dimension is four. It is conjectured that the maximum number of collisions amongn hard spheres ind dimensions is independent ofd, providedd⩾n-1.
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Murphy, T.J., Cohen, E.G.D. Maximum number of collisions among identical hard spheres. J Stat Phys 71, 1063–1080 (1993). https://doi.org/10.1007/BF01049961
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DOI: https://doi.org/10.1007/BF01049961