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 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 …

In contrast with Anderson localization where a genuine localization is observed in real
space, the many-body localization (MBL) problem is much less understood in Hilbert space …

A co-publication of the AMS and the Courant Institute of Mathematical Sciences at New York
University This book is a concise and self-contained introduction of recent techniques to …

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 …

Random matrix theory is a wide and growing field with a variety of concepts, results, and
techniques and a vast range of applications in mathematics and the related sciences. The …

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

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 …

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 …