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 ID: 27855 Download Pdf

107K - views

Published bysherrill-nordquist

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

Download Pdf

Download Pdf - The PPT/PDF document "Random Complex Zeroes Mikhail Sodin Abst..." is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.

Page 1

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.

Â© 2020 docslides.com Inc.

All rights reserved.