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Average density of states for Hermitian Wigner matrices

✍ Scribed by Anna Maltsev; Benjamin Schlein


Book ID
113421770
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
296 KB
Volume
228
Category
Article
ISSN
0001-8708

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For given integers n i, n 2 ~ 1, we consider two hermitian matrices of order n --n 1 +ng., written in block form: where every matrix X~j has dimension n, X nj, 1 < i, j < 2. It is proved that if A u > B u > 0, Az~ > B~ > 0, then per A > per B > 0.