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SUMMARY:Covariance formulas for fluctuations of linear spectral statistics
  for Wigner matrices with few moments - Anna Maltsev (Queen Mary Universit
 y of London)
DTSTART:20190430T130000Z
DTEND:20190430T140000Z
UID:TALK123817@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:We examine covariance of the fluctuations of the linear spectr
 al\nstatistics for Wigner matrices with entries that have a finite\nvarian
 ce but no finite 4th moment. We obtain a closed form expression\nfor the c
 ovariance (previously expressed as a double contour integral)\nand we comp
 ute the relevant integral kernel. We furthermore place it\nin context by a
  comparison with a similar covariance arising in the\nlight tailed case\, 
 i.e. when the entries have more than 4 moments.\nThis is joint work with A
 sad Lodhia.\n
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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