No-gaps delocalization for general random matrices
نویسندگان
چکیده
منابع مشابه
No-gaps Delocalization for General Random Matrices
We prove that with high probability, every eigenvector of a random matrix is delocalized in the sense that any subset of its coordinates carries a non-negligible portion of its `2 norm. Our results pertain to a wide class of random matrices, including matrices with independent entries, symmetric and skew-symmetric matrices, as well as some other naturally arising ensembles. The matrices can be ...
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ژورنال
عنوان ژورنال: Geometric and Functional Analysis
سال: 2016
ISSN: 1016-443X,1420-8970
DOI: 10.1007/s00039-016-0389-0