Random Complex Zeroes and Random Nodal Lines
classification
🧮 math.PR
math-phmath.CVmath.MP
keywords
gaussianrandomcomplexzeroesdescribedistributionentirefunction
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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.
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