Spectra of random and almost-periodic operators

Leonid Pastur, Alexander Figotin3540506225, 9783540506225

The study of the spectra and related characteristics of random and almost periodic operators of various types (Schrodinger, continuous, discrete and more general) is a lively field of research lying at the intersection of mathematical physics, spectral theory of operators and probability theory. A widespread interest in the domain and a considerable amount of mathematical activity have led to many new results and viewpoints yielding insight even into traditional questions. This book by two of the leading researchers is a systematic treatment of the fundamental problems and the large body of mathematical results known. The book also provides a number of exercises illustrating these results to guide the reader towards improvements and generalizations.