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math-ph2003★ 24 cited
Multiplying unitary random matrices - universality and spectral properties
Romuald A. Janik, Waldemar Wieczorek
In this paper we calculate, in the large N limit, the eigenvalue density of an infinite product of random unitary matrices, each of them generated by a random hermitian matrix. Thi…
math-ph2003★ 50 cited
Infinite Products of Large Random Matrices and Matrix-valued Diffusion
Ewa Gudowska-Nowak, Romuald A. Janik, Jerzy Jurkiewicz +1
We use an extension of the diagrammatic rules in random matrix theory to evaluate spectral properties of finite and infinite products of large complex matrices and large hermitian…