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SUMMARY:Two new results on random matrices - Yi Han (Statslab)
DTSTART:20240507T130000Z
DTEND:20240507T140000Z
UID:TALK216358@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:In this talk we will discuss two results on symmetric random m
 atrices.\nThe first deals with a cross-over regime for the largest eigenva
 lue: when matrix tails are at a transition point from Tracy-Widom to Poiss
 on law for the top eigenvalue\, we can uncover a new deformed Poisson poin
 t process structure and eigenvector localization beyond spectral edge. Thi
 s applies to Wigner\, Wishart and other ensembles. In the second part the 
 author discusses joint small ball estimates on multiple smallest singular 
 values at different locations in the spectrum\, under a natural entry dens
 ity assumption\, highlighting a quantitative version of independence.\n
LOCATION:MR12
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