In a Poisson point process we have independence between disjoint spatial domains, so the locations of the points outside a disk 
 give us no information on the points inside. The story gets a lot more interesting for processes with stronger spatial correlation. 
 In the case of Ginibre ensemble, a process arising from eigenvalues of random matrices, we prove that the outside points determine 
 exactly the number of points inside, and further, we demonstrate that they determine nothing more. In the case of zero ensembles of 
 a Gaussian power series, we prove that the outside points determine exactly the number and the center of mass of the inside points, 
 and nothing further. These phenomena suggest a certain hierarchy of point processes, where a higher order process is rigid with respect 
 to a greater variety perturbations. Poisson, Ginibre and the Gaussian power series fit in at levels 0, 1 and 2 in this hierarchy.