Starts 17 Sep 2021 14:30
Ends 17 Sep 2021 15:30
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Conditional Measures for the Zero Set of the Gaussian Analytic Function
Online/Presence
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https://zoom.us/meeting/register/tJYld-CurTsrE9Gw2qPfyAeIBksOHALM_Wkw
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Abstract: Consider a random series whose entries are independent complex Gaussians with expectation zero and variance 1. The radius of convergence of this series is 1. The Peres-Viràg theorem gives an explicit determinantal formula for the correlation functions of the zero set; it turns out, in particular, that if the unit disc is considered as the Poincaré model for the Lobachevsky plane, then the distribution of the zero set is invariant under Lobachevskian isometries. The main result of the talk is an explicit descriptiopn of conditional distributions of the zero set subject to the condition that the configuration is fixed in the complement of a compact set.
https://zoom.us/meeting/register/tJYld-CurTsrE9Gw2qPfyAeIBksOHALM_Wkw
After registering, you will receive a confirmation email containing information about joining the meeting.
Abstract: Consider a random series whose entries are independent complex Gaussians with expectation zero and variance 1. The radius of convergence of this series is 1. The Peres-Viràg theorem gives an explicit determinantal formula for the correlation functions of the zero set; it turns out, in particular, that if the unit disc is considered as the Poincaré model for the Lobachevsky plane, then the distribution of the zero set is invariant under Lobachevskian isometries. The main result of the talk is an explicit descriptiopn of conditional distributions of the zero set subject to the condition that the configuration is fixed in the complement of a compact set.
This will be a zoom/presence meeting