Zeroes of Gaussian analytic functions

Simple item page
dc.creatorSodin, Mikhail
dc.date2004-10-14
dc.date.accessioned2026-07-07T05:13:17Z
dc.date.available2026-07-07T05:13:17Z
dc.descriptionGeometrically, 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.
dc.descriptionTalk at the 4th European Congress of Mathematics (Stockholm, 2004)
dc.identifierhttps://arxiv.org/abs/math/0410343
dc.identifierhttp://arxiv.org/abs/math/0410343
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72891
dc.subjectComplex Variables
dc.subjectMathematical Physics
dc.subjectProbability
dc.subject30B20; 30C15, 60G60, 82B10
dc.titleZeroes of Gaussian analytic functions
dc.typetext

Files

Collections

arXiv