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SUMMARY:Spectral statistics of large random matrices - Antti Knowles (Harv
 ard)
DTSTART:20120117T141500Z
DTEND:20120117T151500Z
UID:TALK34899@talks.cam.ac.uk
CONTACT:24872
DESCRIPTION: Large random matrices exhibit the striking phenomenon of\nuni
 versality: under very general assumptions on the matrix entries\,\nthe lim
 iting spectral statistics coincide with those of a Gaussian\nmatrix ensemb
 le. I review recent results on the spectral universality\nof random matric
 es. I also describe two types of phase transition in\nrandom matrix models
 : one associated with heavy-tailed entries\, and\nthe other associated wit
 h finite-rank deformations. (Joint work with\nL. Erdos\, H.T. Yau\, and J.
  Yin.)\n
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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