2 citations · 3 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
Universality for the global spectrum of random inner-product kernel matrices in the polynomial regime
Sofiia Dubova, Yue M. Lu, Benjamin McKenna +1
We consider certain large random matrices, called random inner-product kernel matrices, which are essentially given by a nonlinear function applied entrywise to a sample-covari…
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…