Title: A simple construction of a completely rigid point process
Speaker: Alon Nishry, Tel Aviv University
Abstract: Consider a point process in the plane with infinitely many points. For a fixed compact set K, we would like to know what the configuration of points outside of K tells us about the configuration of points inside it.
Not long ago Ghosh and Peres introduced and studied this problem for two invariant point processes, the Ginibre ensemble and zeros of the Gaussian Entire Function. I will explain some of their findings and describe a simple way to construct a Gaussian entire function whose zero set is ‘completely rigid’. This means that if the location of the zeros in the complement of a given compact set is known, then the number and location of the zeros inside that set can be determined uniquely.
Based on a joint work with A. Kiro (TAU).
Seminar URL: u.osu.edu/probability