Graduate student reading seminar

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Time and place: Tuesday 2:20PM-4PM, Van Vleck 903

Determinantal point processes

Zeros of Gaussian Analytic Functions and Determinantal Point Processes by Ben J. Hough, Manjunath Krishnapur, Balint Virag and Yuval Peres

Determinantal point processes: Chapters 4 and 6

Determinantal processes and independence by Ben J. Hough, Manjunath Krishnapur, Balint Virag and Yuval Peres

Determinantal random point fields by Alexander Soshnikov

Terry Tao's blog entry on determinantal point processes

Random matrices and determinantal processes by K. Johansson

Determinantal point processes by A. Borodin

September 13: start reading the HKPV book (Chapter 4). You can also have a look at the other survey articles listed above.

September 20: finish Section 4.2 and go through the first example in 4.3 (non-intersecting random walks)

September 27: Corollary 4.3.3, the rest of the examples in 4.3 and 4.4 (how to generate determinantal processes)

October 1: there is no reading seminar (you should go to the Probability Seminar instead)

October 8: start reading Section 4.5

Electrical networks

Random Walks and Electric Networks by Doyle and Snell

Probability on Trees and Networks by Russell Lyons with Yuval Peres