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 …

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 …

Based on numerical results it is conjectured that the spectral statistics of certain
pseudointegrable billiards have a special form similar to that of the Anderson model at the …

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 …

We study a one-dimensional XXZ spin chain in a random field on the metallic side of the
many-body localization transition by level statistics. For a fixed interaction, and intermediate …

In this paper, we suggest an extension of the Rosenzweig-Porter (RP) model, the LN-RP
model, in which the off-diagonal matrix elements have a wide, log-normal distribution. We …

New Class of Random Matrix Ensembles with Multifractal Eigenvectors Page 1 VOLUME 79,
NUMBER 10 PHYSICAL REVIEW LETTERS 8SEPTEMBER 1997 New Class of Random Matrix …

We study the spectrum of the QCD Dirac operator by means of the valence quark mass
dependence of the chiral condensate in partially quenched Chiral Perturbation Theory …

We numerically study level statistics of disordered interacting quantum many-body systems.
A two-parameter plasma model which controls the level repulsion exponent β and range h of …