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The asymptotic distribution of random molecules
Published online by Cambridge University Press: 01 July 2016
Abstract
If n solid spheres Kn of some volume V(Kn) are scattered randomly in the unit cube of euclidean d-space, some of them will overlap to form Ln(s) molecules with exactly s atoms Kn. The random variable Ln(s) has a limit distribution if V(Kn) tends to zero but nV(Kn) tends to infinity at a certain rate: it is shown that for
Ln(s) is asymptotically Poisson.
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- Copyright © Applied Probability Trust 1980
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