ICTP Mathematics Seminar (Zoom/Presence Meeting) - Friday 17 September, at 14:30 - Alexander BUFETOV

[ICTP Math Section]

ICTP Mathematics Seminar (Zoom/Presence Meeting)

Friday 17 September, at 14:30 (Central European Time)

Starts: 14:30

Ends: 15:30

Register in advance for this meeting:
https://zoom.us/meeting/register/tJYld-CurTsrE9Gw2qPfyAeIBksOHALM_Wkw

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information about joining the meeting.

Speaker: Alexander Bufetov (Aix-Marseille University)

https://www.i2m.univ-amu.fr/user/alexander.bufetov/


Title: Conditional Measures for the Zero Set of the Gaussian Analytic 
Function

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.



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Koutou Mabilo
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