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Table of contents (5 chapters)
Keywords
About this book
Reviews
"The main purpose of this book is to present, in quite an accessible way, the essence of multiscale analysis, a technique needed in proving Anderson localization, or exponential localization, for random Schrodinger-like operators acting in $L^2(\bold R^d)$. The treatise consists of four chapters, which are well arranged so as to clarify the logical structure of this hard technique. In the first chapter, after a brief introduction to the subject of disordered systems, the author summarizes some general facts on ergodic families of self-adjoint operators, such as the almost sure constancy of the spectrum. A convenient criterion is also given for the measurability of random operators obtained through closed forms. Then the author describes precisely two basic models to be treated in the sequel, which he names (P+A) and (DIV) respectively...." (Nariyuki Minami, Mathematical Reviews)
Authors and Affiliations
Bibliographic Information
Book Title: Caught by Disorder
Book Subtitle: Bound States in Random Media
Authors: Peter Stollmann
Series Title: Progress in Mathematical Physics
DOI: https://doi.org/10.1007/978-1-4612-0169-4
Publisher: Birkhäuser Boston, MA
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eBook Packages: Springer Book Archive
Copyright Information: Birkhäuser Boston 2001
Hardcover ISBN: 978-0-8176-4210-5Published: 26 June 2001
Softcover ISBN: 978-1-4612-6644-0Published: 29 December 2012
eBook ISBN: 978-1-4612-0169-4Published: 06 December 2012
Series ISSN: 1544-9998
Series E-ISSN: 2197-1846
Edition Number: 1
Number of Pages: XVII, 166
Topics: Partial Differential Equations, Functional Analysis, Theoretical, Mathematical and Computational Physics, Statistical Theory and Methods