Rigidity phenomena in random point sets and applications

Non-equilibrium Dynamics and Random Matrices
Topic:Rigidity phenomena in random point sets and applications
Speaker:Subhroshekhar Ghosh
Affiliation:Princeton University
Date:Wednesday, December 11
Time/Room:11:00am - 12:00pm/S-101
Video Link:https://video.ias.edu/nedrm/2013/1211-SubhroshekharGhosh

In several naturally occurring (infinite) point processes, we show that the number (and other statistical properties) of the points inside a finite domain are determined, almost surely, by the point configuration outside the domain. This curious phenomenon we refer to as "rigidity". We will discuss rigidity phenomena in point processes, and their applications to stochastic geometry and to random instances of some classical questions in Fourier analysis.