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Existence and Regularity Properties of the Integrated Density of States of Random Schrödinger Operators

Existence and Regularity Properties of the Integrated Density of States of Random Schrödinger Operators

Paperback

Series: Lecture Notes in Mathematics, Book 1917

General MathematicsProbability & Statistics

ISBN10: 3540726896
ISBN13: 9783540726890
Publisher: Springer
Published: Nov 30 2007
Pages: 147
Weight: 0.57
Height: 0.37 Width: 6.34 Depth: 9.05
Language: English

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.

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General Mathematics