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arXiv · 1003.4237

Random Complex Zeroes and Random Nodal Lines

Fedor Nazarov·Mikhail Sodin
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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.

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Fedor Nazarov, Mikhail Sodin. 2010-03-22. Random Complex Zeroes and Random Nodal Lines. https://arxiv.org/abs/1003.4237

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