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UID:8948@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20260331T143000
DTEND;TZID=Europe/Paris:20260331T153000
DTSTAMP:20260316T171329Z
URL:https://www.i2m.univ-amu.fr/evenements/tba-279/
SUMMARY:Patrick OLIVEIRA SANTOS (New York University Abu Dhabi): Spectral d
 istribution of tensor products of random matrices.
DESCRIPTION:Patrick OLIVEIRA SANTOS: In this talk\, I will discuss the spec
 tral distribution of tensor products of random matrices. While random matr
 ices can often be viewed as noncommutative operators\, tensor products int
 roduce additional commutation relations that modify the resulting spectral
  structure.\nWe use graphs to encode the commutation relations among the m
 atrices. In the high-order regime\, the limiting spectral distribution can
  be described through the graphon limit of these graphs.\n\nFrom this grap
 h-theoretic perspective\, we obtain a family of graphon-driven limiting la
 ws interpolating between classical and free behavior. This includes the Ga
 ussian and semicircle distributions and recovers earlier tensor-free centr
 al limit theorems.\n\nIf time permits\, I will also discuss several open p
 roblems and ongoing projects related to this framework. This talk is based
  on joint work with Cécilia Lancien\, Pierre Youssef\, Guillaume Cébron\
 , and Raghavendra Tripathi
CATEGORIES:Séminaire,ALEA,Probabilités
LOCATION:I2M Saint-Charles - Salle de séminaire\, Université Aix-Marseill
 e\, Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, Franc
 e
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Université Aix-Marseille\,
  Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, France;X
 -APPLE-RADIUS=100;X-TITLE=I2M Saint-Charles - Salle de séminaire:geo:0,0
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