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SUMMARY:Matrix Dyson equation and random matrices with correlations - Lasz
 lo Erdös (IST Austria)
DTSTART:20171031T161500Z
DTEND:20171031T171500Z
UID:TALK86451@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:We consider large random matrices with general slowly decaying
  correlation among its entries. We prove universality of local eigenvalue 
 statistics and optimal local law for the resolvent. One key ingredient is 
 a sharp stability analysis of the matrix Dyson equation\, the other one is
  a systematic diagrammatic control of a multivariate cumulant expansion.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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