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 …

We review the development of random-matrix theory (RMT) during the last fifteen years. We
emphasize both the theoretical aspects, and the application of the theory to a number of …

Recent studies point towards nontriviality of the ergodic phase in systems exhibiting many‐
body localization (MBL), which shows subexponential relaxation of local observables …

Gaussian random‐matrix ensembles defined over the tangent spaces of the large families of
Cartan's symmetric spaces are considered. Such ensembles play a central role in …

The article reviews recent developments in the theory of fluctuations and correlations of
energy levels and eigenfunction amplitudes in diffusive mesoscopic samples. Various …

The ongoing miniaturization of solid state devices often leads to the question:“How small
can we make resistors, transistors, etc., without changing the way they work?” The question …

A quantum dot is a sub-micron-scale conducting device containing up to several thousand
electrons. Transport through a quantum dot at low temperatures is a quantum-coherent …

Dynamical systems and their linear stability; 2. Topological chaos; 3. Liouvillian dynamics; 4.
Probabalistic chaos; 5. Chaotic scattering; 6. Scattering theory of transport; 7. Hydrodynamic …

Comparison between formulae for the counting functions of the heights tn of the Riemann
zeros and of semiclassical quantum eigenvalues En suggests that the tn are eigenvalues of …

Assuming the validity of random matrices for describing the statistics of a closed chaotic
quantum system, we study analytically some statistical properties of the S-matrix …