Random Complex Zeroes and Random Nodal Lines

Details Random Complex Zeroes and Random Nodal Lines Random Complex Zeroes and Random Nodal Lines

2010-03-22

arxiv.org/abs/1003.4237v1

Mathematics

Probability

33 pages, 8 figures

Scientific paper

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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