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 …

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 …

Diffusion in disordered systems does not follow the classical laws which describe transport
in ordered crystalline media, and this leads to many anomalous physical properties. Since …

The development of the supersymmetry technique has led to significant advances in the
study of disordered metals and semiconductors. Proven of great use in the analysis of …

Anomalous scaling laws appear in a wide class of phenomena where global dilation
invariance fails. In this case, the description of scaling properties requires the introduction of …

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

We introduce and analyze a class of model systems to study transitions in the integer
quantum Hall effect (IQHE). Even without disorder our model exhibits an IQHE transition as a …

Kicked rotor is a paradigmatic model for classical and quantum chaos in time-dependent
Hamiltonian systems. More than fifty years since the introduction of this model, there is an …

This article describes the advances that have been made over the past ten years on the
problem of fracton excitations in fractal structures. The relevant systems to this subject are so …

At the present moment, after the success of the renormalization group in providing a
conceptual framework for studying second-order phase tran sitions, we have a nearly …