Publications

Kolupaiev, O. (2025). Spectral independence of almost fully correlated random matrices. arXiv.org:2503.18922.

Bao Z., Cipolloni G., Erdős, L., Henheik, J., and Kolupaiev, O. (2025). Law of fractional logarithm for random matrices. arXiv.org:2503.18922.

Bao Z., Cipolloni G., Erdős, L., Henheik, J., and Kolupaiev, O. (2025). Decorrelation transition in the Wigner minor process. arXiv.org:2503.06549.

Cipolloni G., Erdős, L., Henheik, J., and Kolupaiev, O. (2024). Eigenvector Decorrelation for Random Matrices. arXiv:2410.10718.

Erdős, L., Henheik, J., and Kolupaiev, O. (2024). Loschmidt Echo for Deformed Wigner Matrices. arXiv:2410.08108.

Erdős, L., Henheik, J., and Riabov, V. (2024). Cusp Universality for Correlated Random Matrices. arXiv:2410.06813.

Campbell, A., Cipolloni, G., Erdős, L., and Ji, H.C. (2024). On the spectral edge of non-Hermitian random matrices. arXiv:2404.17512.

Erdős, L., and Riabov, V. (2024). Eigenstate Thermalization Hypothesis for Wigner-type Matrices. Communications in Mathematical Physics. arXiv:2403.10359, DOI:10.1007/s00220-024-05143-y.

Cipolloni, G., Erdős, L., and Henheik, J. (2024). Out-of-time-ordered correlators for Wigner matrices. arXiv:2402.17609.

Henheik, J.  and  Lauritsen, A.B. (2023). Universal behavior of the BCS energy gap. arXiv:2312.11310.

Cipolloni, G., Erdős, L., and Xu, Y. (2023). Universality of extremal eigenvalues of large random matrices. arXiv:2312.08325.

Erdős, L., Henheik, J., Reker, J., and Riabov, V. (2024). Prethermalization for Deformed Wigner Matrices. Annales Henri Poincaré. arXiv:2310.06677. DOI:10.1007/s00023-024-01518-y 

Cipolloni, G., Erdős, L., and Henheik, J. (2023). Eigenstate thermalisation at the edge for Wigner matrices. arXiv:2309.05488.

Zhang, Y., Ji, H.C., Venkataramanan, R., and Mondelli, M. (2024). Spectral Estimators for Structured Generalized Linear Models via Approximate Message Passing, The Thirty Seventh Annual Conference on Learning Theory. PMLR. arXiv:2308.14507. proceedings.mlr.press/v247/zhang24c

Campbell, A., O'Rourke, S., and Renfrew, D. (2024). The fractional free convolution of R-diagonal operators and random polynomials under repeated differentiation, International Mathematics Research Notices, rnae062. arXiv:2307.11935, DOI:10.1093/imrn/rnae062.

Reker, J. (2024). Fluctuation Moments for Regular Functions of Wigner Matrices, Mathematical Physics, Analysis and Geometry 3. arXiv:2307.11029, DOI:10.1007/s11040-024-09483-y.

Reker, J. (2024). Multi-Point Functional Central Limit Theorem for Wigner Matrices, Electronic Journal of Probability, 29. arXiv:2307.11028, DOI:10.1214/24-EJP1247.

Erdős, L. and Ji, H.C. (2023). Density of Brown measure of free circular Brownian motion. arXiv:2307.08626.

Riabov, V. (2025). Linear Eigenvalue Statistics at the Cusp. arXiv:2307.07432, DOI:10.1007/s00440-025-01373-w 

Sugimoto, S., Henheik, J., Riabov, V., and Erdős, L. (2023).  Eigenstate Thermalisation Hypothesis for Translation Invariant Spin Systems, Journal of Statistical Physics 190. arXiv:2304.04213, DOI:10.1007/s10955-023-03132-4. 

Ding, X. and Ji, H.C. (2023). Spiked multiplicative random matrices and principal components. Stochastic Processes and their Applications 163. 25–60. arXiv:2302.13502, DOI:10.1016/j.spa.2023.05.009.

Henheik, J., Lauritsen A.B., and Roos, B. (2023). Universality in low-dimensional BCS theory. Reviews in Mathematical Physics. arXiv:2301.05621, DOI:10.1142/S0129055X2360005X.

Cipolloni, G., Erdős, L., Henheik, J., and Kolupaiev, O. (2023). Gaussian fluctuations in the Equipartition Principle for Wigner matrices, Forum of Mathematics, Sigma 11. arXiv:2301.05181, DOI:10.1017/fms.2023.70.

Erdős, L. and Ji, H.C. (2024). Wegner estimate and upper bound on the eigenvalue condition number of non-Hermitian random matrices, Communications on Pure and Applied Mathematics. arXiv:2301.04981, DOI:10.1002/cpa.22201.

Dubach, G.  and Erdős, L. (2023). Dynamics of a rank-one perturbation of a Hermitian matrix. Electr. Comm. Probab. 28. 1–13. arXiv:2108.13694, DOI:10.1214/23-ECP516.

Cipolloni, G. , Erdős, L., and Schröder, D. (2023). On the Spectral Form Factor for Random Matrices. Commun. Math. Physics. 1665–1700. arXiv:2109.06712, DOI:10.1007/s00220-023-04692-y.

Cipolloni, G., Erdős, L., Henheik, J., and Schröder, D. (2024). Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices, Journal of Functional Analysis, 287. arXiv:2301.03549, DOI:10.1016/j.jfa.2024.110495.

Riabov, V. (2025). Mesoscopic eigenvalue statistics for Wigner-type matrices.  Ann. Inst. H. Poincaré Probab. Statist. 61. 129-154. arXiv:2301.01712, DOI:10.1214/23-AIHP1438.  

Erdős, L. and Xu, Y. (2023). Small deviation estimates for the largest eigenvalue of Wigner matrices. Bernoulli 29. 1063–1079. arXiv:2112.12093, DOI: 10.3150/22-BEJ1490.

Cipolloni, G., Erdős, L., and Schröder, D. (2023). Functional Central Limit Theorems for Wigner Matrices. Ann. Appl. Probab. 33. 447–489. arXiv:2012.13218, DOI:10.1214/22-AAP1820.

Cipolloni, G., Erdős, L., and Schröder, D. (2022). Optimal multi-resolvent local laws for Wigner matrices. Electr. J. Prob. 27. 1–38. arXiv:2112.13693, DOI: 10.1214/22-EJP838.

Cipolloni, G., Erdős, L., and Schröder, D. (2022). Rank-uniform local law for Wigner matrices. Forum Math. Sigma 10. arXiv:2203.01861, DOI:10.1017/fms.2022.86.

Cipolloni, G., Erdős, L., Schröder, D., and Y. Xu. (2022). Directional extremal statistics for Ginibre eigenvalues. J. Math. Phys. 63. arXiv:2206.04443, DOI: 10.1063/5.0104290.

Cipolloni, G., Erdős, L., Schröder, D., and Y. Xu. (2023). On the rightmost eigenvalue of nonHermitian random matrices. Ann. Probab. 51. 2192–2242. arXiv:2206.04448, DOI:10.1214/23-AOP1643.

Erdős, L., McKenna, B. (2024). Extremal statistics of quadratic forms of GOE/GUE eigenvectors. Ann. Appl. Probab. 34. 1623–1662. arXiv:2208.12206, DOI:10.1214/23-AAP2000.

Cipolloni, G., Erdős, L., and Schröder, D. (2023).  Mesoscopic central limit theorem for non-Hermitian random matrices. Probab. Theory Relat. Fields. arXiv:2210.12060, DOI:10.1007/s00440-023-01229-1. 

Cipolloni, G., Erdős, L., and Y. Xu. (2024). Precise asymptotics for the spectral radius of a large random matrix, Journal of Mathematical Physics, 65. arXiv:2210.15643, DOI:10.1063/5.0209705.

Dubach, G. and Reker, J. (2024). Dynamics of a rank-one multiplicative perturbation of a unitary matrix, Random Matrices: Theory and Applications, 13. arXiv:2212.14638, DOI:10.1142/S2010326324500072. 

Henheik, J. and Tumulka, R. (2022). Creation Rate of Dirac Particles at a Point Source. Journal of Physics A: Mathematical and Theoretical 56. arXiv:2211.16606, DOI:10.1088/1751-8121/acfe62. 

Henheik, J. (2022) Deformational rigidity of integrable metrics on the torus. arXiv:2210.02961. 

Henheik, J. and Wessel, T. (2022). On adiabatic theory for extended fermionic lattice systems. Journal of Mathematical Physics 63. arXiv:2208.12220, DOI:10.1063/5.0123441.

Schnelli, K. and Xu, Y. (2023). Quantitative Tracy-Widom laws for the largest eigenvalue of generalized Wigner matrices. Electron. J. Probab. 28. arXiv:2207.00546, DOI:10.1214/23-EJP1028.

Reker, J. (2022). On the operator norm of a Hermitian random matrix with correlated entries. Random Matrices: Theory and Applications 11 (04). arXiv:2103.03906, DOI:10.1142/S2010326322500368.

Henheik, J. and Lauritsen A.B. (2022). The BCS Energy Gap at High Density. Journal of Statistical Physics 189. arXiv:2106.02028, DOI:10.1007/s10955-022-02965-9. 

Henheik, J. (2022). The BCS Critical Temperature at High Density. Mathematical Physics, Analysis and Geometry 25. arXiv:2106.02015, DOI:10.1007/s11040-021-09415-0.

Erdős, L. and Ji, H.C. (2023). Functional CLT for non-Hermitian random matrices. Annals of the Henri Poincare Institute (B) Probability and Statistics 59. 2083–2105. arXiv:2112.11382, DOI:10.1214/22-AIHP1304.

Ji, H.C. and Park, J. (2021). Tracy-Widom limit for free sum of random matrices. arXiv:2110.05147.

Henheik, J., Teufel, S., and Wessel, T. (2021). Local stability of ground states in locally gapped and weakly interacting quantum spin systems. Letters in Mathematical Physics 112. arXiv:2106.13780, DOI:10.1007/s11005-021-01494-y.  

Schnelli, K. and Xu, Y. (2022). Convergence rate to the Tracy-Widom laws for the largest eigenvalue of Wigner matrices. Communications in Mathematical Physics 393. 839–907. arXiv:2207.00546, DOI:10.1007/s00220-022-04377-y.

Henheik, J. and Teufel, S. (2022). Adiabatic theorem in the thermodynamic limit. Systems with a gap in the bulk. Forum of Mathematics, Sigma 10. arXiv:2102.04330, DOI:10.1017/fms.2021.80. 

Henheik, J. and Teufel, S. (2022). Adiabatic theorem in the thermodynamic limit. Systems with a uniform gap. Journal of Mathematical Physics 63. arXiv:2012.15238, DOI:10.1063/5.0051632.

Ding, X. and Chang Ji, H.C. (2020). Local laws for multiplication of random matrices. Annals of Applied Probability 33. 2981–3009.  arXiv:2010.16083, DOI:10.1214/22-AAP1882. 

Henheik, J. and Tumulka, R. (2022). Interior-boundary conditions for the Dirac equation at point sources in three dimensions. Journal of Mathematical Physics 63. arXiv:2006.16755, DOI:10.1063/5.0104675.