Eigenvector Localization for Random Band Matrices with Power Law Band Width
نویسندگان
چکیده
منابع مشابه
Eigenvector Localization for Random Band Matrices with Power Law Band Width
It is shown that certain ensembles of random matrices with entries that vanish outside a band around the diagonal satisfy a localization condition on the resolvent which guarantees that eigenvectors have strong overlap with a vanishing fraction of standard basis vectors, provided the band width W raised to a power μ remains smaller than the matrix size N . For a Gaussian band ensemble, with mat...
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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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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2009
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-009-0798-0