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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.PR2023
Eigenstate Thermalization Hypothesis for Generalized Wigner Matrices
Arka Adhikari, Sofiia Dubova, Changji Xu +1
In this paper, we extend results of Eigenvector Thermalization to the case of generalized Wigner matrices. Analytically, the central quantity of interest here are multiresolvent tr…