variance related properties.

1. covariance matrices $\langle \widehat{cov}(\Omega_i, \Omega_j)\rangle = \bar\Pi(\Omega_i, \Omega_j)-\bar N(\Omega_i)\bar N(\Omega_j))$.
2. correlation coefficient matrices: $R_{\Omega_i, \Omega_j}= \frac{\displaystyle\langle \widehat{cov}(\Omega_i, \Ome... ...sqrt{\langle\sigma^2(\Omega_i)\rangle} \sqrt{\langle\sigma^2(\Omega_j)\rangle}}$
3. probability of having $\nu$ electrons in $\Omega_i$