Summary: Repetition Strong version of VRMM Main application Further results Convergence of norms
Lecture III: Applications of Voiculescu's random
matrix model to operator algebras
Steen Thorbjørnsen, University of Aarhus
Repetition Strong version of VRMM Main application Further results Convergence of norms
Voiculescu's Random Matrix Model
Theorem [Voiculescu]. For each n in N, let X
(n)
1 , . . . , X
(n)
r be
independent random matrices from GUE(n, 1
n ), and let i1, i2, . . . , ip
be indices from {1, 2, . . . , r}. Let further D
(n)
1 , . . . , D
(n)
p be
non-random diagonal n × n matrices such that
j {1, . . . , p}: sup

Source: Anshelevich, Michael - Department of Mathematics, Texas A&M University

Collections: Mathematics