Existence and regularity properties of the integrated density of states of random Schrödinger operators
Author(s)
Bibliographic Information
Existence and regularity properties of the integrated density of states of random Schrödinger operators
（Lecture notes in mathematics, 1917）
Springer, c2008
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Note
Includes bibliographical references (p. [113]-138) and index
http://dx.doi.org/10.1007/978-3-540-72691-3
Description and Table of Contents
Description
This book describes in detail a quantity encoding spectral feature of random operators: the integrated density of states or spectral distribution function. It presents various approaches to the construction of the integrated density of states and the proof of its regularity properties. The book also includes references to and a discussion of other properties of the IDS as well as a variety of models beyond those treated in detail here.
Table of Contents
Random Operators.- Existence of the Integrated Density of States.- Wegner Estimate.- Wegner's Original Idea. Rigorous Implementation.- Lipschitz Continuity of the IDS.
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