A complete understanding of Schrödinger operators is a necessary prerequisite for unveiling
the physics of nonrelativistic quanturn mechanics. Furthermore recent research shows that it …

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 define a new class of random walk processes which maximize entropy. This maximal
entropy random walk is equivalent to generic random walk if it takes place on a regular …

The x and Q 2 dependence of the single photon exchange cross section d 2 σ/dQ 2 dx and
the proton structure functions F 2 (x, Q 2) and R (x, Q 2) have been measured in deep …

This paper is an extended version of my (six-hours) lectures given at the Nordic Summer
School in Mathematics 1988. This Summer School took place in a marvelous castle in …

The following notes grew out oflectures held during the DMV-Seminar on Random Media in
November 1999 at the Mathematics Research Institute of Oberwolfach, and in February …

We survey some aspects of the theory of the integrated density of states (IDS) of random
Schrödinger operators. The first part motivates the problem and introduces the relevant …

The Anderson model on Z~ is defined as follows: Let dp be a probability measure on R with
compact support, say a= inf (supp/~), b= sup (supp/~). Let V~ o (n)(n CZ v) be independent …

Random Schrödinger operators are models for the quantum mechanical description of
disordered media. The main aim of the analysis of such models is the understanding of the …