Title	Beta ensemble at high temperature
Creator	Dumaz, Laure
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-04-14T15:29
Description	In this talk, we will be interested in the behavior of beta (Hermite) ensembles in the microscopic regime. Thanks to the tridiagonal model discovered by Dumitriu and Edelman, Ramirez, Rider and Virag (for the edge) and Valko and Virag (for the bulk) were able to characterize the limiting point processes through a family of coupled diffusions. We use this approach to derive the large temperature limit i.e. the regime where the parameter beta tends to zero. Thanks to a careful analysis of the diffusions, we prove the convergence towards Poissonian point processes (joint works with Romain Allez).
Extent	49 minutes
Subject	Mathematics; Probability theory and stochastic processes; Statistical mechanics, structure of matter
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Cambridge
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-02-07
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0319141
URI	http://hdl.handle.net/2429/59451
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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