Titlebook: Spectral Theory of Random Schr?dinger Operators; René Carmona,Jean Lacroix Book 1990 Birkh?user Boston 1990 Finite.H?lder condition.Identi

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The Integrated Density of States, physical importance for it can be measured experimentally in some cases. On the top of its physical appeal, the integrated density of states is a very interesting mathematical object which deserves to be investigated for its own sake. Many challenging mathematical problems remain open in this respe

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Localization in Any Dimension,als defined on some probability space (Ω,?). Such a model proposed by Anderson in [8], is usually refered to as the “Anderson model”. It has been shown in the preceding chapters that the behavior at infinity of the solutions of the “eigenvalue equation” . is crucial in the study of spectral properti

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Products of Random Matrices,limit can no longer be written as a single expectation. Moreover its determination involves the computation of some invariant measure on the projective space. We only assume that the reader has a minimal background in classical probability theory. Most of the material presented in this chapter is self contained.

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The Integrated Density of States,ct. Finally, several proofs of technical results crucial to the study of the spectral properties of the random Hamiltonians, and in particular of the localization, rely very heavily on estimates of the integrated density of states.

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978-1-4612-8841-1Birkh?user Boston 1990