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On the Fluctuations of Polynomials in Gaussian Matrices Diaz, Mario
Description
About a decade ago, Mingo, Nica, and Speicher studied the fluctuations of the moments of Gaussian matrices from a combinatorial perspective. Based on their work, in this talk we will study the fluctuations of the moments of block Gaussian matrices. In particular, we will find a semi-explicit formula for a matricial version of the second-order Cauchy transform. Using the linearization technique, this formula will provide the second-order Cauchy transform of polynomials in Gaussian matrices. This is joint work with Serban Belinschi and James Mingo.
Item Metadata
| Title |
On the Fluctuations of Polynomials in Gaussian Matrices
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2016-12-06T16:32
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| Description |
About a decade ago, Mingo, Nica, and Speicher studied the fluctuations of the moments of Gaussian matrices from a combinatorial perspective. Based on their work, in this talk we will study the fluctuations of the moments of block Gaussian matrices. In particular, we will find a semi-explicit formula for a matricial version of the second-order Cauchy transform. Using the linearization technique, this formula will provide the second-order Cauchy transform of polynomials in Gaussian matrices. This is joint work with Serban Belinschi and James Mingo.
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| Extent |
21 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: Queen's University
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| Series | |
| Date Available |
2017-05-15
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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 |
10.14288/1.0347462
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Graduate
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International