Random zero sets under repeated differentiation of an analytic function

Stochastics Seminar
Thursday, February 4, 2016 - 3:05pm
1 hour (actually 50 minutes)
Skiles 006
School of Mathematics, Georgia Tech
For a random (complex) entire function, what can we say about the behavior of the zero set of its N-th derivative, as N goes to infinity? In this talk, we shall discuss the result of repeatedly differentiating a certain class of random entire functions whose zeros are the points of a Poisson process of intensity 1 on the real line. We shall also discuss the asymptotic behavior of the coefficients of these entire functions. Based on joint work with Robin Pemantle.