Title: Some aspects of determinantal probability measures, I
Speaker: Russell Lyons
Speaker Info: Indiana University
Brief Description:
Special Note:
Abstract:
(1) For each subset A of the circle with measure m, there is a sequence of integers of Beurling-Malliavin density m such that set of the corresponding complex exponentials is complete for L^2(A).Date: Friday, October 14, 2011(2) Given an infinite graph, simple random walk on each tree in the wired uniform spanning forest is a.s. recurrent.
(3) In our first talk, we give a theorem that has both these as corollaries. In our second talk, we describe a conjectural analogue for continuous point processes and its applications to zeroes of analytic functions. We also describe the ideas behind the results, which depend on determinantal probability measures.