60 citations · 130 across the 6 of their papers we have counts for
6 papers
General Eigenvalue Correlations for the Real Ginibre Ensemble
Hans-Jürgen Sommers, Waldemar Wieczorek
We rederive in a simplified version the Lehmann-Sommers eigenvalue distribution for the Gaussian ensemble of asymmetric real matrices, invariant under real orthogonal transformatio…
Nonlinear statistics of quantum transport in chaotic cavities
D. V. Savin, H. -J. Sommers, W. Wieczorek
In the framework of the random matrix approach, we apply the theory of Selberg's integral to problems of quantum transport in chaotic cavities. All the moments of transmission eige…
Statistics of conductance and shot-noise power for chaotic cavities
H. -J. Sommers, W. Wieczorek, D. V. Savin
We report on an analytical study of the statistics of conductance, , and shot-noise power, , for a chaotic cavity with arbitrary numbers of channels in two leads an…
Random walkers versus random crowds: diffusion of large matrices
Ewa Gudowska-Nowak, Romuald J. Janik, Jerzy Jurkiewicz +2
We briefly review the random matrix theory for large N by N matrices viewed as free random variables in a context of stochastic diffusion. We establish a surprising link between th…
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…
Distribution of the largest eigenvalues of the Levi - Smirnov ensemble
Waldemar Wieczorek
We calculate the distribution of the k-th largest eigenvalue in the random matrix Levi-Smirnov (LSE) ensemble, using the spectral dualism between LSE and chiral Gaussian Unitary En…