Sofiia Dubova

activity

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

collaborators

8 papers

math.PR2025

Delocalization of Non-Mean-Field Random Matrices in Dimensions $d \geq 3$

Sofiia Dubova, Fan Yang, Horng-Tzer Yau +1

We study $N \times N$ random band matrices $H = (H_{x y})$ with mean-zero complex Gaussian entries, where $x, y$ lie on the discrete torus $(Z / d N Z)^{d}$ i…

math.PR2025

Delocalization of Two-Dimensional Random Band Matrices

Sofiia Dubova, Kevin Yang, Horng-Tzer Yau +1

We study a random band matrix $H = (H_{x y})_{x, y}$ of dimension $N \times N$ with mean-zero complex Gaussian entries, where $x, y$ belong to the discrete torus $(\mathbb{Z}/\sqrt{N}\ma…

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 $N \times N$ and band-width $W$ . 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 $N \times N$ 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 $k$ -point correlation function in…

math.PR2023★ 2 cited

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 $f$ applied entrywise to a sample-covari…

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…

math.PR2018

Solution of Matrix Dyson Equation for Random Matrices with Fast Correlation Decay