Title	Fluctuations of the overlap of the spherical SK model at low temperature
Creator	Landon, Benjamin
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-08-08T15:27
Description	We consider the fluctuations of the overlap between two replicas in the 2-spin spherical SK model in the low temperature phase. We show that the fluctuations are of order $N^{-1/3}$ and are given by a simple, explicit function of the eigenvalues of a GOE matrix. We show that this quantity converges and describe its limit in terms of quantities from random matrix theory. Joint work with P. Sosoe.
Extent	45.0 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: Massachusetts Institute of Technology
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-09-11
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0394319
URI	http://hdl.handle.net/2429/75976
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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