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Multiplication law and S transform for non-hermitian random matrices
Z. Burda, R. A. Janik, M. A. Nowak
We derive a multiplication law for free non-hermitian random matrices allowing for an easy reconstruction of the two-dimensional eigenvalue distribution of the product ensemble fro…
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…
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…
Wishart and Anti-Wishart random matrices
Romuald A. Janik, Maciej A. Nowak
We provide a compact exact representation for the distribution of the matrix elements of the Wishart-type random matrices , for any finite number of rows and columns o…