What does a point process outside a domain tell us about what's inside?

What does a point process outside a domain tell us about what's inside?

Probability Seminar
Oct 5, 2011, 03:00 PM - 04:00 PM | 332 Evans Hall | Happening As Scheduled
Subhro Ghosh, UC Berkeley
In a Poisson point process we have independence between disjoint spatialdomains, so 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...