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On Random Operator-Valued Matrices: Operator-Valued Semicircular Mixtures and Central Limit Theorem
Motivated by a random matrix theory model from wireless communications, we
define random operator-valued matrices as the elements of
where
is a classical probability space and
is a non-commutative probability space. A central
limit theorem for the mean -valued moments of these random
operator-valued matrices is derived. Also a numerical algorithm to compute the
mean -valued Cauchy transform of operator-valued semicircular
mixtures is analyzed.Comment: 17 pages, 1 figur
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