Title	On the Fluctuations of Polynomials in Gaussian Matrices
Creator	Diaz, Mario
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-12-06T16:32
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.
Extent	21 minutes
Subject	Mathematics; Functional analysis; Probability theory and stochastic processes; Operator theory/algebras
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Queen's University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-05-15
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0347462
URI	http://hdl.handle.net/2429/61631
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Graduate
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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