Summary: statement of VRMM Permutations Proof of VRMM
Lecture II: Voiculescu's random matrix model for
a free semi-circular system
Steen Thorbjørnsen, University of Aarhus
statement of VRMM Permutations Proof of VRMM
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