Volume fluctuations of random analytic varieties

Xavier Massaneda
Universitat Autònoma de Barcelona

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).



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