Title	Universality at criticality: Cusp and Circular Edge
Creator	Cipolloni, Giorgio
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-08-08T14:09
Description	In the last decade, Wigner-Dyson-Mehta (WDM) conjecture has been proven for very general random matrix ensembles in the bulk and at the edge of the self consistent density of states (scDos). Recently we proved universality at the cusp of the scDos completing the last remaining case of the WDM conjecture. About universality for non-Hermitian matrices much less is known. The only available result is the proof by Tao and Vu assuming (non-optimal) four moments matching with Ginibre ensemble. In a very recent work we proved universality at the circular edge of any non-Hermitian matrix X with entries i.i.d. real or complex centred random variables without any moment condition.
Extent	49.0 minutes
Subject	Mathematics; Probability theory and stochastic processes; Mechanics of particles and systems
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Institute of Science and Technology Austria
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-02-05
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0388562
URI	http://hdl.handle.net/2429/73478
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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Universality at criticality: Cusp and Circular Edge Cipolloni, Giorgio

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