Gaussian statistics for left and right eigenvectors of complex non-Hermitian matrices
arxiv(2024)
摘要
We consider a constant-size subset of left and right eigenvectors of an
N× N i.i.d. complex non-Hermitian matrix associated with the eigenvalues
with pairwise distances at least N^-1/2+ϵ. We show that
arbitrary constant rank projections of these eigenvectors are Gaussian and
jointly independent.
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