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Asymptotics in discrete Beta-ensembles

Geometric functional analysis and applications November 13, 2017 - November 17, 2017

November 13, 2017 (02:45 PM PST - 03:45 PM PST)
Speaker(s): Alice Guionnet (École Normale Supérieure de Lyon)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • Random matrix theory

  • random tilings

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

4-Guionnet

Abstract

We will discuss the fluctuations in discrete Beta-ensembles. Such distributions describe for instance the positions of lozenge tilings and ressemble the continuous Beta-ensembles which appear in random matrix ensembles. We will highlight the role of equations introduced by Nekrasov in this context, which play the same crucial role than Dyson-Schwinger equations in the continuous case, but are not obtained by a straightforward integration by part.

Supplements
30090?type=thumb Guionnet Notes 4.59 MB application/pdf Download
Video/Audio Files

4-Guionnet

H.264 Video 4-Guionnet.mp4 111 MB video/mp4 rtsp://videos.msri.org/data/000/029/984/original/4-Guionnet.mp4 Download
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