Forthcoming seminars
Seminar calendar
List of seminars
Archive by years
Register a seminar

Forthcoming seminars

You may need the following programs to see the files

Steklov Mathematical Institute Seminar
November 8, 2018 16:00–17:30, Moscow, Steklov Mathematical Institute of RAS, Conference Hall (8 Gubkina)

Chaos and order for determinantal point processes

A. I. Bufetov
Video records:
MP4 2,162.9 Mb
MP4 982.2 Mb

Number of views:
This page:246
Video files:96
Youtube Live:

A. I. Bufetov
Photo Gallery

Видео не загружается в Ваш браузер:
  1. Установите Adobe Flash Player    

  2. Проверьте с Вашим администратором, что из Вашей сети разрешены исходящие соединения на порт 8080
  3. Сообщите администратору портала о данной ошибке

Abstract: Determinantal point processes arise in combinatorics, representation theory and mathematical physics, specifically random matrix theory.
Our processes are chaotic: the Central Limit Theorem holds (Costin-Lebowitz, Soshnikov), and so does its functional analogue (Dymov and the speaker), the Kolmogorov 0-1 law also holds (Lyons, Osada-Osada, Qiu, Shamov and the speaker).
At the same time, particles of our random configurations interact at infinite distance, as is shown by the Ghosh-Peres rigidity property or the explicit form of conditional measures for our processes found by the speaker.
As shown by Qiu, Shamov and the speaker, almost every realization of a determinantal point process is a uniqueness set for the governing reproducing kernel Hilbert space, for instance, the Bergman space. While partial results are given by the Patterson-Sullivan construction, the general question of simultaneous extrapolation of Bergman functions from their restrictions to our random configuration remains largely open.

SHARE: FaceBook Twitter Livejournal
Contact us:
 Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2018