Summing graphs for random band matrices
نویسندگان
چکیده
منابع مشابه
Analytical Results for Random Band Matrices with
Using the supersymmetry method we analytically calculate the local density of states, the localiztion length, the generalized inverse participation ratios , and the distribution function of eigenvector components for the superpo-sition of a random band matrix with a strongly uctuating diagonal matrix. In this way we extend previously known results for ordinary band matrices to the class of rand...
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i It is a pleasure to thank Professor Stoiciu for his patience and selflessness in being my thesis advisor. Second, I would like to thank Professor Silva for being my second reader and for his helpful suggestions. Finally, I would like to thank my parents, without whom I could never have completed this thesis. One of the most important results in analysis is the Spectral Theorem, which shows th...
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We exhibit an explicit formula for the spectral density of a (large) random matrix which is a diagonal matrix whose spectral density converges, perturbated by the addition of a symmetric matrix with Gaussian entries and a given (small) limiting variance profile. 1. Perturbation of the spectral density of a large diagonal matrix In this paper, we consider the spectral measure of a random matrix ...
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The transfer matrix method is applied to quasi one-dimensional and one-dimensional disordered systems with long-range interactions described by band random matrices. We investigate the convergence properties of the whole Lyapunov spectra of finite samples as a function of the bandwidth and of the sample length. Two different scaling laws are found at the maximal and minimal Lyapunov exponents. ...
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We prove the universality for the eigenvalue gap statistics in the bulk of the spectrum for band matrices, in the regime where the band width is comparable with the dimension of the matrix, W ∼ N . All previous results concerning universality of non-Gaussian random matrices are for meanfield models. By relying on a new mean-field reduction technique, we deduce universality from quantum unique e...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 1997
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.55.6419