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

Quantum transport is a diverse field, sometimes combining seemingly contradicting
concepts-quantum and classical, conduction and insulating-within a single nanodevice …

We study statistical properties of the ensemble of large N× N random matrices whose entries
H ij decrease in a power-law fashion H ij∼| ij|− α. Mapping the problem onto a nonlinear σ …

This review is intended to give a pedagogical and unified view on the subject of the statistics
and scaling of physical quantities in disordered electron systems at very low temperatures …

Statistics of the inverse participation ratio (IPR) at the critical point of the localization
transition is studied numerically for the power-law random banded matrix model. It is shown …

Critical fluctuations of wave functions and energy levels at the Anderson transition are
studied for the family of the power-law random banded matrix ensembles. It is shown that the …

The statistics of energy levels for a disordered conductor are considered in the critical
energy window near the mobility edge. It is shown that, if the critical wave functions are …

We review recent developments in quantum scattering from mesoscopic systems. Various
spatial geometries whose closed analogues show diffusive, localized or critical behaviour …

We use a random walk in the ensemble of impurity configurations to generate a Brownian
motion model for energy levels in disordered conductors. Treating arclength along the …