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 …

The problem of electron-electron lifetime in a quantum dot is studied beyond perturbation
theory by mapping onto the problem of localization in the Fock space. Localized and …

We study the level spacing statistics P (s) in many-body Fermi systems and determine a
critical two-body interaction strength U c at which a crossover from Poisson to Wigner-Dyson …

The overlap of two wave packets evolving in time with slightly different Hamiltonians decays
exponentially∝ e− γ t, for perturbation strengths U greater than the level spacing Δ. We …

Résumé La formalisation non standard, due à P. Cartier et Y. Perrin, des oscillations rapides
fournit un cadre mathématique adéquat pour de nouvelles techniques d'estimation non …

In this review we summarize and amplify recent investigations of coupled quantum
dynamical systems with few degrees of freedom in the short-wavelength, semiclassical limit …

The complexity of quantum evolutions can be understood by examining their spread in a
chosen basis. Recent research has stressed the fact that the Krylov basis is particularly …

We study numerically the effects of nonlinearity on the Anderson localization in lattices with
disorder in one and two dimensions. The obtained results show that at moderate strength of …

Random banded matrices with linearly increasing diagonal elements are recently
considered as an attractive model for complex nuclei and atoms. Apart from early papers by …