From a review of the first edition: Beautifully written and well organized... indispensable for
those interested in certain areas of mathematical physics... for the expert and beginner alike …

This book provides an introduction to the mathematical theory of disorder effects on quantum
spectra and dynamics. Topics covered range from the basic theory of spectra and dynamics …

This review is an extended version of my mini course at the Etats de la recherche:
Operateurs de Schroedinger aleatoires at the Universite Paris 13 in June 2002, a summer …

We introduce an enhanced multiscale analysis that yields subexponentially decaying
probabilities for bad events. For quantum and classical waves in random media, we obtain …

We study localization effects of disorder on the spectral and dynamical properties of
Schrödinger operators with random potentials. The new results include exponentially …

We consider the spectral and dynamical properties of quantum systems of n particles on the
lattice Z^ d, of arbitrary dimension, with a Hamiltonian which in addition to the kinetic term …

Abstract We study continuous Anderson Hamiltonians with non-degenerate single site
probability distribution of bounded support, without any regularity condition on the single site …

It is shown that certain ensembles of random matrices with entries that vanish outside a
band around the diagonal satisfy a localization condition on the resolvent which guarantees …

We consider the edge and bulk conductances for 2D quantum Hall systems in which the
Fermi energy falls in a band where bulk states are localized. We show that the resulting …

We give a widely self-contained introduction to the mathematical theory of the Anderson
model. After defining the Anderson model and determining its almost sure spectrum, we …