Zeroes of Gaussian analytic functions

Mikhail Sodin

doi:10.4171/009-1/27

Zeroes of Gaussian analytic functions

Mikhail Sodin

School of Mathematical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

Geometrically, zeroes of a Gaussian analytic function are intersection points of an analytic curve in a Hilbert space with a randomly chosen hyperplane. Mathematical physics provides another interpretation as a gas of interacting particles. In the last decade, these interpretations influenced progress in understanding statistical patterns in the zeroes of Gaussian analytic functions, and led to the discovery of canonical models with invariant zero distribution. We shall discuss some of recent results in this area and mention several open questions.

Original language	English
Title of host publication	Proceedings of the 4th European congress of mathematics (ECM), Stockholm, Sweden, June 27--July 2, 2004
Editors	Ari Laptev
Place of Publication	Zurich
Publisher	European Mathematical Society Publishing House
Pages	445-458
Number of pages	14
ISBN (Print)	3-03719-009-4
DOIs	https://doi.org/10.4171/009-1/27
State	Published - 2005
Event	4th European congress of mathematics - Stockholm, Sweden Duration: 27 Jun 2004 → 2 Jul 2004 Conference number: 4

Conference

Conference	4th European congress of mathematics
Abbreviated title	ECM
Country/Territory	Sweden
City	Stockholm
Period	27/06/04 → 2/07/04

Keywords

60G99

Access to Document

10.4171/009-1/27

Cite this

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Zeroes of Gaussian analytic functions

Abstract

Conference

Keywords

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