Zeros of Gaussian Analytic Functions

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We prove and discuss three results on zero distribution of gaussian analytic functions: (i) the Edeleman-Kostlan formula for the expectation of the counting measure; (ii) a variation on the theme of Calabi's rigidity theorem; (iii) Offord's estimate of exponential decay of the tail probabilities of an anlytic function having an access or deficiency of zeros in a given region.
14 pages, to be published in Math. Res. Lett

Keywords

Complex Variables, Probability, 30B20

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/59532

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0007030
 http://arxiv.org/abs/math/0007030

Collections

arXiv