Date(s) : 07/03/2016 iCal
10 h 00 min - 11 h 00 min
Given a Gaussian analytic function fL of intensity L in the unit ball of ℂn, consider its (random) zero variety Z(fL). We study the variance of the (n-1)-dimensional volume of Z(fL) inside a pseudo-hyperbolic ball of radius r. In particular we describe the asymptotic behaviour of the variance as r → 1- and as L →∞. (Joint work with Jeremiah Buckley and Bharti Pridhnani).
Xavier Massaneda, University of Barcelona