Publications
Erdős, L., and Riabov, V. (2024). Eigenstate Thermalization Hypothesis for Wigner-type Matrices. arXiv:2403.10359.
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. (2023). Prethermalization for Deformed Wigner Matrices. arXiv:2310.06677.
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. (2023). Spectral Estimators for Structured Generalized Linear Models via Approximate Message Passing. arXiv:2308.14507.
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. (2023). Fluctuation Moments for Regular Functions of Wigner Matrices. arXiv:2307.11029.
Reker, J. (2023). Multi-Point Functional Central Limit Theorem for Wigner Matrices. arXiv:2307.11028.
Erdős, L. and Ji, H.C. (2023). Density of Brown measure of free circular Brownian motion. arXiv:2307.08626.
Riabov, V. (2023). Linear Eigenvalue Statistics at the Cusp. arXiv:2307.07432.
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. (2023). Wegner estimate and upper bound on the eigenvalue condition number of non-Hermitian random matrices. arXiv:2301.04981.
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. (2023). Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices. arXiv:2301.03549.
Riabov, V. (2023). Mesoscopic eigenvalue statistics for Wigner-type matrices. arXiv:2301.01712.
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. (2022). Precise asymptotics for the spectral radius of a large random matrix. arXiv:2210.15643.
Dubach, G. and Reker, J. (2022). Dynamics of a rank-one multiplicative perturbation of a unitary matrix. 2022. arXiv:2212.14638.
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.