Publications

  1. Fluctuations for differences of linear eigenvalue statistics for sample covariance matrices.
    with László Erdős.
    Random Matrices: Theory and Applications 9, Vol. 3 (2020).
    arXiv version: arXiv:1806.08751.

  2. Cusp universality for random matrices II: The real symmetric case.
    with László Erdős, Torben Krüger, Dominik Schröder.
    Pure Appl. Anal. 1, 615-707 (2019).
    arXiv version: arXiv:1811.04055.

  3. Edge Universality for non-Hermitian Random Matrices.
    with László Erdős, Dominik Schröder.
    Probab. Theory and Related Fields 179, 1–28 (2021).
    arXiv version: arXiv:1908.00969.

  4. Optimal Lower Bound on the Least Singular Value of the Shifted Ginibre Ensemble.
    with László Erdős, Dominik Schröder.
    Prob. Math. Physics 1, 101–146 (2020).
    arXiv version: arXiv:1908.01653.

  5. Central Limit Theorem for Linear Eigenvalue Statistics of non-Hermitian Random Matrices.
    with László Erdős, Dominik Schröder.
    Communications on Pure and Applied Mathematics 76.5, 946-1034 (2023).
    arXiv version: arXiv:1912.04100.

  6. Fluctuation Around the Circular Law for Random Matrices with Real Entries.
    with László Erdős, Dominik Schröder.
    Electron. J. Probab. 26: 1-61 (2021).
    arXiv version: arXiv:2002.02438.

  7. Eigenstate Thermalization Hypothesis for Wigner Matrices.
    with László Erdős, Dominik Schröder.
    Communications in Mathematical Physics, 388, 1005–1048 (2021).
    arXiv version: arXiv:2012.13215.

  8. Functional Central Limit Theorems for Wigner Matrices.
    with László Erdős, Dominik Schröder.
    Annals of Applied Probability 33.1, 447-489 (2023).
    arXiv version: arXiv:2012.13218.

  9. Thermalisation for Wigner matrices.
    with László Erdős, Dominik Schröder.
    Journal of Functional Analysis 282, Issue 8 (2022).
    arXiv version: arXiv:2102.09975.

  10. Normal fluctuation in quantum ergodicity for Wigner matrices.
    with László Erdős, Dominik Schröder (2021).
    Ann. Probab. 50 (3): 984-1012 (2022).
    arXiv version: arXiv:2103.06730.

  11. On the condition number of the shifted real Ginibre ensemble.
    with László Erdős, Dominik Schröder.
    SIAM Journal on Matrix Analysis and Applications 43.3, 1469-1487 (2022).
    arXiv version: arXiv:2105.13719.

  12. Density of small singular values of the shifted real Ginibre ensemble.
    with László Erdős, Dominik Schröder.
    Annales Henri Poincar'e. Vol. 23. No. 11. (2022).
    arXiv version: arXiv:2105.13720.

  13. Quenched universality for deformed Wigner matrices.
    with László Erdős, Dominik Schröder.
    Probability Theory and Related Fields 185.3-4, 1183-1218 (2023).
    arXiv version: arXiv:2106.10200.

  14. On the Spectral Form Factor for Random Matrices.
    with László Erdős, Dominik Schröder.
    Communications in Mathematical Physics 401, 1665-1700 (2023).
    arXiv version: arXiv:2109.06712.

  15. Optimal multi-resolvent local laws for Wigner matrices.
    with László Erdős, Dominik Schröder.
    Electronic Journal of Probability 27, 1-38 (2022).
    arXiv version: arXiv:2112.13693.

  16. Rank-uniform local law for Wigner matrices.
    with László Erdős, Dominik Schröder.
    Forum of Mathematics, Sigma. Vol. 10 (2022).
    arXiv version: arXiv:2203.01861.

  17. Directional Extremal Statistics for Ginibre Eigenvalues.
    with László Erdős, Dominik Schröder, Yuanyuan Xu.
    Journal of Mathematical Physics 63.10 (2022). Selected as Editor’s Pick.
    arXiv version: arXiv:2206.04443.

  18. On the rightmost eigenvalue of non-Hermitian random matrices.
    with László Erdős, Dominik Schröder, Yuanyuan Xu (2022).
    Accepted to Annals of Probability (2023).
    Preprint: arXiv:2206.04448.

  19. Dynamical Localization for Random Band Matrices up to $W\ll N^{1/4}$.
    with Ron Peled, Jeffrey Schenker, and Jacob Shapiro (2022).
    Accepted to Communication in Mathematical Physics (2024).
    Preprint: arXiv:2206.05545.

  20. Entanglement Entropy of Non-Hermitian Eigenstates and the Ginibre Ensemble.
    with with Jonah Kudler-Flam.
    Physical Review Letters 130.1 (2023).
    arXiv version: arXiv:2206.12438.

  21. Ruminations on Matrix Convexity and the Strong Subadditivity of Quantum Entropy.
    with Michael Aizenman.
    Letters in Mathematical Physics 113.1 (2023).
    arXiv version: arXiv:2210.10729.

  22. Mesoscopic Central Limit Theorem for non-Hermitian Random Matrices.
    with László Erdős, Dominik Schröder (2022).
    Accepted to Probability Theory and Related Fields (2023).
    Preprint: arXiv:2210.12060.

  23. Precise asymptotics for the spectral radius of a large random matrix.
    with László Erdős, Yuanyuan Xu (2022).
    Preprint: arXiv:2210.15643.

  24. Fluctuations of eigenvector overlaps and the Berry conjecture for Wigner matrices.
    with Lucas Benigni (2022).
    Preprint: arXiv:2212.10694.

  25. Optimal Lower Bound on Eigenvector Overlaps for non-Hermitian Random Matrices.
    with László Erdős, Joscha Henheik, and Dominik Schröder (2023).
    Preprint: arXiv:2301.03549.

  26. Gaussian fluctuations in the Equipartition Principle for Wigner matrices.
    with László Erdős, Joscha Henheik, and Oleksii Kolupaiev.
    Forum of Mathematics, Sigma. Vol. 11 (2023).
    arXiv version: arXiv:2301.05181.

  27. Non-Hermitian Hamiltonians Violate the Eigenstate Thermalization Hypothesis.
    with Jonah Kudler-Flam (2023).
    Accepted to Physical Review B (2024).
    Preprint: arXiv:2303.03448 .

  28. The Dissipative Spectral Form Factor for I.I.D. Matrices.
    with Nicoló Grometto (2023).
    Accepted to Journal of Statistical Physics (2024).
    Preprint: arXiv:2306.16262.

  29. Eigenstate thermalisation at the edge for Wigner matrices.
    with László Erdős, Joscha Henheik (2023).
    Preprint: arXiv:2309.05488.

  30. Universality of extremal eigenvalues of large random matrices.
    with László Erdős, Yuanyuan Xu (2023).
    Preprint: arXiv:2312.08325.

  31. Out-of-time-ordered correlators for Wigner matrices.
    with László Erdős, Joscha Henheik (2024).
    Preprint: arXiv:2402.17609.

Proceedings

  1. Edge Universality for non-Hermitian Random Matrices.
    Oberwolfach Rep. 16 (2019), no. 4, pp. 3480–3481.

  2. Fluctuations in the Spectrum of non-Hermitian i.i.d. Matrices.
    J. Math. Phys. 63, 053503 (2022).