Oleksii Kolupaiev

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20212026

most citedAnomalous singularity of the solution of the vector Dyson equation in the critical case

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

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Showing 2025 · math.PRShow all

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math.PR2025

Spectral independence of almost fully correlated random matrices

Oleksii Kolupaiev

We study the joint spectral properties of two coupled random matrices $H^{(1)}$ and $H^{(2)}$ , which are either real symmetric or complex Hermitian. The entries of these matrices e…

math.PR2025

Law of fractional logarithm for random matrices

Zhigang Bao, Giorgio Cipolloni, László Erdős +2

We prove the Paquette-Zeitouni law of fractional logarithm (LFL) for the extreme eigenvalues [arXiv:1505.05627] in full generality, and thereby verify a conjecture from [arXiv:1505…

math.PR2025

Decorrelation transition in the Wigner minor process

Zhigang Bao, Giorgio Cipolloni, László Erdős +2

We consider the Wigner minor process, i.e. the eigenvalues of an $N \times N$ Wigner matrix $H^{(N)}$ together with the eigenvalues of all its $n \times n$ minors, $H^{(n)}$ , $n\le N…