- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- BIRS Workshop Lecture Videos /
- The law of large numbers for the maximum of the log-potential...
Open Collections
BIRS Workshop Lecture Videos
BIRS Workshop Lecture Videos
The law of large numbers for the maximum of the log-potential of random matrices Paquette, Elliot
Description
We give a proof that the maximum of the centered log-potential of GUE is log N + o(log N) with high probability. This confirms the first term in a conjecture by Fyodorov and Simm. Moreover, we prove a general theorem about almost Gaussian fields that should be applicable to showing the law of large numbers for the log characteristic polynomial of beta-ensembles. We will also survey some extensions of this type of result: to other potentials, to other beta, and to higher degrees of precision. This is based on joint works with Gaultier Lambert and Ofer Zeitouni.
Item Metadata
Title |
The law of large numbers for the maximum of the log-potential of random matrices
|
Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
|
Date Issued |
2016-04-12T08:59
|
Description |
We give a proof that the maximum of the centered log-potential of GUE is log N + o(log N) with high probability. This confirms the first term in a conjecture by Fyodorov and Simm. Moreover, we prove a general theorem about almost Gaussian fields that should be applicable to showing the law of large numbers for the log characteristic polynomial of beta-ensembles. We will also survey some extensions of this type of result: to other potentials, to other beta, and to higher degrees of precision.
This is based on joint works with Gaultier Lambert and Ofer Zeitouni.
|
Extent |
60 minutes
|
Subject | |
Type | |
File Format |
video/mp4
|
Language |
eng
|
Notes |
Author affiliation: Weizmann Institute
|
Series | |
Date Available |
2017-02-07
|
Provider |
Vancouver : University of British Columbia Library
|
Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
DOI |
10.14288/1.0319086
|
URI | |
Affiliation | |
Peer Review Status |
Unreviewed
|
Scholarly Level |
Postdoctoral
|
Rights URI | |
Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International