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Counting points in Determinantal and Permanental processes II
Probability| Speaker: | Manjunath Krishnapur, UC Berkeley, Dept of Statistics |
| Location: | 693 Kerr |
| Start time: | Tue, Apr 19 2005, 3:10PM |
This is a continuation of the Ben Hough's talk from April 12. Determinantal or fermionic processes occur in Physics and in Combinatorics. In recent work with Hough, Peres and Virag we realized that the counting measure of a determinantal process has a strikingly simple property. In this talk we introduce a criterion under which the joint distribution of counts in several regions can be described probabilistically, and apply this to certain processes in two dimensions to obtain joint distributions of the absolute values of the points of the process. In particular this applies to a family of invariant determinantal processes in the sphere, in the plane and in the hyperbolic plane.