## 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