5.5.3 Let N.A/I A 2 R2 be a homogeneous Poisson point process in the plane, where...

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5.5.3 Let

N.A/I A 2 R2 be a homogeneous Poisson point process in the plane, where the intensity is . Divide the .0; t].0; t] square into n2 boxes of side length d D t=n. Suppose there is a reaction between two or more points whenever they are located within the same box. Determine the distribution for the number of reactions, valid in the limit as t!1 and d!0 in such a way that td! > 0.

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