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Log-correlated Gaussian fields and linear statistics of beta ensembles Webb, Christian
Description
In this talk we'll recall how central limit theorems for the linear statistics of beta ensembles imply that certain natural objects of random matrix theory can be described asymptotically in terms of log-correlated Gaussian fields. We'll also briefly discuss a proof of such a central limit theorem for the circular beta ensemble.
Item Metadata
Title |
Log-correlated Gaussian fields and linear statistics of beta ensembles
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-04-13T14:01
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Description |
In this talk we'll recall how central limit theorems for the linear statistics of beta ensembles imply that certain natural objects of random matrix theory can be described asymptotically in terms of log-correlated Gaussian fields. We'll also briefly discuss a proof of such a central limit theorem for the circular beta ensemble.
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Extent |
55 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Aalto University
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Series | |
Date Available |
2017-02-07
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0319127
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Postdoctoral
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International