DIMACS TR: 2004-50
On the Realizability of Point Processes with Specified
One and Two Particle Densities
Authors: Joel L. Lebowitz, O. Costin, T. Kuna and E.R. Speer
ABSTRACT
We investigate and give partial answers to the following
question: given a one particle and pair density, $\rho_1(r_1)$
and $\rho_2(r_1,r_2)$, $r_1, r_2 \in
R^d$ (or
$Z^d)$, does there exist a point process, i.e. a probability
measure on points in $R^d$ ($Z^d$), having these
densities?
Paper Available at:
ftp://dimacs.rutgers.edu/pub/dimacs/TechnicalReports/TechReports/2004/2004-50.ps.gz
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