## 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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