This is a review of the statistical properties of the scattering matrix of a mesoscopic system.
Two geometries are contrasted: A quantum dot and a disordered wire. The quantum dot is a …

The physics of Anderson transitions between localized and metallic phases in disordered
systems is reviewed. The term “Anderson transition” is understood in a broad sense …

Normal-conducting mesoscopic systems in contact with a superconductor are classified by
the symmetry operations of time reversal and rotation of the electron's spin. Four symmetry …

▪ Abstract Random matrix theory is a powerful way to describe universal correlations of
eigenvalues of complex systems. It also may serve as a schematic model for disorder in …

We investigate the spectral properties of a random matrix model which in the large N limit
embodies the essentials of the QCD partition function at low energy. The exact spectral …

We consider random non-hermitian matrices in the large-N limit. The power of analytic
function theory cannot be brought to bear directly to analyze non-hermitian random matrices …

An overview of the random network model invented by Chalker and Coddington, and its
generalizations, is provided. After a short introduction into the physics of the Integer …

In the theory of disordered systems the spectral form factor S (τ), the Fourier transform of the
two-level correlation function with respect to the difference of energies, is linear for τ< τ c and …

We consider classical normal modes and noninteracting bosonic excitations in disordered
systems. We emphasize generic aspects of such problems and parallels with disordered …

We apply the recently introduced method of hermitization to study in the large N limit non-
hermitian random matrices that are drawn from a large class of circularly symmetric non …