Abstract: S. Ghosh and Y. Peres showed that in certain point processes, the configuration outside a bounded domain determines the number of points of the process inside the domain (and in some cases even the center of mass). They named this surprising phenomenon as rigidity. In joint work with Subhroshekhar Ghosh, we systematically investigated the extent of rigidity and tolerance in determinantal point processes and in zeros of random analytic functions. I shall start with the basic definitions and present some of the results.
