Oleksii Kolupaiev

About me

I did my bachelor studies in mathematics in Kharkiv Karazin University and then started my PhD in Institute of Science and Technology Austria. Currently I am affiliated with the research group of László Erdös. My research interests lie in probability theory and analysis, in particular random matrices and related topics.

You can find my full CV here.

Publications and Preprints

• Spectral independence of almost fully correlated random matrices.

 arXiv:2503.21472 (submitted)

• Law of fractional logarithm for random matrices.

with Zhigang Bao, Giorgio Cipolloni, László Erdős, and Joscha Henheik, arXiv:2503.18922 (submitted)

• Decorrelation transition in the Wigner minor process.

with Zhigang Bao, Giorgio Cipolloni, László Erdős, and Joscha Henheik, arXiv:2503.06549 (submitted)

• Eigenvector decorrelation for random matrices.

with Giorgio Cipolloni, László Erdős, and Joscha Henheik, arXiv:2410.10718 (submitted)

• Loschmidt echo for deformed Wigner matrices.

with László Erdős, and Joscha Henheik,  arXiv:2410.08108, Lett. Math. Phys.115(1) (2025)

• Gaussian fluctuations in the Equipartition Principle for Wigner matrices. 

with Giorgio Cipolloni, László Erdős, and Joscha Henheik, arXiv:2301.05181, For. Math., Sigma, 11 (2023)

• Anomalous singularity of the solution of the vector Dyson equation in the critical case

arXiv:2108.08684, J. Math. Phys. 62, 123503 (2021)