Existence and regularity properties of the integrated density of states of random Schrödinger operators
著者
書誌事項
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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注記
Includes bibliographical references (p. [113]-138) and index
http://dx.doi.org/10.1007/978-3-540-72691-3
内容説明・目次
内容説明
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.
目次
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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