Eigenvalue repulsion and eigenvector localization in sparse non-Hermitian random matrices
نویسندگان
چکیده
منابع مشابه
Hermitian Matrices, Eigenvalue Multiplicities, and Eigenvector Components
Given an n-by-n Hermitian matrix A and a real number λ, index i is said to be Parter (resp. neutral, downer) if the multiplicity of λ as an eigenvalue of A(i) is one more (resp. the same, one less) than that in A. In case the multiplicity of λ in A is at least 2 and the graph of A is a tree, there are always Parter vertices. Our purpose here is to advance the classification of vertices and, in ...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2019
ISSN: 2470-0045,2470-0053
DOI: 10.1103/physreve.100.052315