Volume fluctuations of random analytic varieties
Xavier Massaneda
Universitat Autònoma de Barcelona
https://www.researchgate.net/profile/Xavier-Massaneda
Date(s) : 07/03/2016 iCal
10h00 - 11h00
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).
https://arxiv.org/abs/1402.1566
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