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20182025
most citedUniversality for the global spectrum of random inner-product kernel matrices in the polynomial regime

2 citations · 3 across the 8 of their papers we have counts for

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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…