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Point processes with specified correlation functions

Speer, G (Rutgers)
Tuesday 13 June 2006, 14:15-15:15

Seminar Room 1, Newton Institute


Given a point process, in Euclidean space or on a lattice, the corresponding k-point correlation function, for k=1,2, . . ., expresses the probability of finding particles at k specified points. Here we ask a converse question: if we are given a finite number of candidate correlation functions, say those for k=1,2, . . . , n, does there exist a point process which realizes these correlations? We give some partial answers to this question and discuss some examples.


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