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 interacting disordered electron problem is reviewed with emphasis on the quantum
phase transitions that occur in a model system and on the field-theoretic methods used to …

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 …

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

We have performed analytical calculations and computer simulations to study the persistent
current I in small isolated one-dimensional metal rings enclosing a magnetic flux φ. We have …

Statistical analysis of the eigenfunctions of the Anderson tight-binding model with on-site
disorder on regular random graphs strongly suggests that the extended states are …

We study the effect of localized modes in lattices of size N with parity-time (PT) symmetry.
Such modes are arranged in pairs of quasidegenerate levels with splitting δ∼ exp⁡-N/ξ …

We develop a novel analytical approach to the problem of single particle localization in
infinite dimensional spaces such as Bethe lattice and random regular graph models. The …

We study a new class of chaotic systems with dynamical localization, where gain or loss
mechanisms break the Hermiticity, while allowing for parity-time (PT) symmetry. For a value …

The article reviews recent analytical results concerning statistical properties of
eigenfunctions of random Hamiltonians with broken time reversal symmetry describing a …