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math.PR2024
Quantum diffusion and delocalization in one-dimensional band matrices via the flow method
Sofiia Dubova, Kevin Yang
We study a class of Gaussian random band matrices of dimension and band-width . We show that delocalization holds for bulk eigenvectors and that quantum diffusion h…
math.PR2024★ 1 cited
Gaussian statistics for left and right eigenvectors of complex non-Hermitian matrices
Sofiia Dubova, Kevin Yang, Horng-Tzer Yau +1
We consider a constant-size subset of left and right eigenvectors of an i.i.d. complex non-Hermitian matrix associated with the eigenvalues with pairwise distances at l…
math.PR2024
Bulk universality for complex eigenvalues of real non-symmetric random matrices with i.i.d. entries
Sofiia Dubova, Kevin Yang
We consider an ensemble of non-Hermitian matrices with independent identically distributed real entries that have finite moments. We show that its -point correlation function in…