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SUMMARY:"Anisotropic random matrices"
DTSTART:20150323T111500
DTEND:20150323T121500
DTSTAMP:20260406T224620Z
UID:d4b601409c4a5b83a600ae9ed7720680813067823fbe550fdf8e447e
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Antti KNOWLES (ETHZ)\nMost of the literature on random m
 atrices focuses on matrix models that are isotropic in the sense that thei
 r Green functions are with high probability close to a multiple of the ide
 ntity matrix. Such models include Wigner matrices\, Erdos-Renyi graphs\, a
 nd random band matrices.\nI talk about matrix models that are not isotropi
 c. An prominent family of examples is provided by sample covariance matric
 es whose underlying population has nontrivial correlations. I present a ne
 w method that yields local laws for such anisotropic models. Applications 
 include the proof of the Tracy-Widom statistics near the edges\, as well a
 s the distribution of the eigenvectors.
LOCATION:BI A0 448 https://plan.epfl.ch/?room==BI%20A0%20448
STATUS:CONFIRMED
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