Random Complex Zeroes and Random Nodal Lines

Abstract

Proceedings of the International Congress of Mathematicians 2010 (ICM 2010), pp. 1450-1484 (2011) No AccessRandom Complex Zeroes and Random Nodal LinesFedor Nazarov and Mikhail SodinFedor NazarovMathematics Department, University of Wisconsin-Madison, 480 Lincoln Dr., Madison WI 53706, USA and Mikhail SodinSchool of Mathematics, Tel Aviv University, Tel Aviv 69978, IsraelThis work is partially supported by grant No. 2006136 of the United States - Israel Binational Science Foundation.https://doi.org/10.1142/9789814324359_0106Cited by:1 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail 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. Keywords: Gaussian entire functionsrandom complex zeroesrandom wavesrandom nodal linesAMSC: 30B20, 33C55, 60G55 FiguresReferencesRelatedDetailsCited By 1Signal Analysis via the Stochastic Geometry of Spectrogram Level SetsSubhroshekhar Ghosh, Meixia Lin and Dongfang Sun1 Jan 2022 | IEEE Transactions on Signal Processing, Vol. 70 Proceedings of the International Congress of Mathematicians 2010 (ICM 2010)Metrics History KeywordsGaussian entire functionsrandom complex zeroesrandom wavesrandom nodal linesPDF download

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