Random complex zeroes and random nodal lines

Fedor Nazarov, Mikhail Sodin

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In these notes, we describe the recent progress in understanding the zero sets of two remarkable Gaussian random functions: the Gaussian entire function with invariant distribution of zeroes with respect to isometries of the complex plane, and Gaussian spherical harmonics on the two-dimensional sphere.

Original languageEnglish
Title of host publicationProceedings of the International Congress of Mathematicians 2010, ICM 2010
Pages1450-1484
Number of pages35
StatePublished - 2010
EventInternational Congress of Mathematicians 2010, ICM 2010 - Hyderabad, India
Duration: 19 Aug 201027 Aug 2010

Publication series

NameProceedings of the International Congress of Mathematicians 2010, ICM 2010

Conference

ConferenceInternational Congress of Mathematicians 2010, ICM 2010
Country/TerritoryIndia
CityHyderabad
Period19/08/1027/08/10

Keywords

  • Gaussian entire functions
  • Random complex zeroes
  • Random nodal lines
  • Random waves

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