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SUMMARY:Camille Male (Université de Bordeaux)
DTSTART:20201113T130000Z
DTEND:20201113T140000Z
DTSTAMP:20260423T004915Z
UID:MEGA/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MEGA/6/">App
 lications of Freeness over the diagonal of large random matrices.</a>\nby 
 Camille Male (Université de Bordeaux) as part of Séminaire MEGA\n\n\nAbs
 tract\nTraffic probability is an extension of free probability that comes 
 with a general notion of traffic independence. This notion encodes a large
  class of relation\, in particular all non commutative notions of independ
 ence. For a long time\, this notion had only a combinatorial presentation\
 , limiting its field of applicability. However\, an important breakthrough
  was achieved two years ago when we discovered a connection with the notio
 n of freeness over the diagonal. I will illustrate this connection with th
 ree results:\n- a general asymptotic freeness theorem for a very general c
 lass of random matrices\n- a method for computing outliers in spiked rando
 m matrix models with a variance profile\n- a characterization of the fluct
 uations of linear statistics for large Wigner matrices.\n
LOCATION:https://researchseminars.org/talk/MEGA/6/
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