Random Complex Zeroes Mikhail Sodin Abstract Random complex zeroes a
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Random Complex Zeroes Mikhail Sodin Abstract Random complex zeroes a

ka chaotic analytic zero point s are zeroes of a Gaussian entire function where s are independent standard Gaussian complex random vari ables The random zero set of this function is distributio n invariant with respect to the isometries of the comp

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Random Complex Zeroes Mikhail Sodin Abstract Random complex zeroes a




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Random Complex Zeroes Mikhail Sodin Abstract Random complex zeroes (a.k.a. chaotic analytic zero point s) are zeroes of a Gaussian entire function ) = where s are independent standard Gaussian complex random vari- ables. The (random) zero set of this function is distributio n invariant with respect to the isometries of the complex plane. In the ta lk, I am going to address two questions: 1. How to marry the Lebesgue measure with the random complex zeroes? 2. What is the size of fluctuations of the number of random comp lex zeroes in the disk of large radius? The talk

is based on joint works with Fedor Nazarov, Boris Tsirelson and Alexander Volberg.