Extremal statistics of quadratic forms of GOE/GUE eigenvectors
L. Erdös, B. McKenna, Annals of Applied Probability 34 (2024) 1623–1662.
LibreCat: https://research-explorer.ista.ac.at/record/15025
DOI: 10.1214/23-AAP2000
arXiv: 2208.12206

Wegner estimate and upper bound on the eigenvalue condition number of non-Hermitian random matrices
L. Erdös, H.C. Ji, Communications on Pure and Applied Mathematics (2024).
LibreCat: https://research-explorer.ista.ac.at/record/15378
DOI: 10.1002/cpa.22201
arXiv: 2301.04981

Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices
G. Cipolloni, L. Erdös, S.J. Henheik, D.J. Schröder, Journal of Functional Analysis 287 (n.d.).
LibreCat: https://research-explorer.ista.ac.at/record/17049
DOI: 10.1016/j.jfa.2024.110495

Dynamics of a rank-one multiplicative perturbation of a unitary matrix
G. Dubach, J. Reker, Random Matrices: Theory and Applications (2024).
LibreCat: https://research-explorer.ista.ac.at/record/17047
DOI: 10.1142/s2010326324500072
arXiv: 2212.14638

Quenched universality for deformed Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields 185 (2023) 1183–1218.
LibreCat: https://research-explorer.ista.ac.at/record/11741
DOI: 10.1007/s00440-022-01156-7
WoS: 000830344500001
arXiv: 2106.10200

Central limit theorem for linear eigenvalue statistics of non-Hermitian random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Communications on Pure and Applied Mathematics 76 (2023) 946–1034.
LibreCat: https://research-explorer.ista.ac.at/record/10405
DOI: 10.1002/cpa.22028
WoS: 000724652500001
arXiv: 1912.04100

Small deviation estimates for the largest eigenvalue of Wigner matrices
L. Erdös, Y. Xu, Bernoulli 29 (2023) 1063–1079.
LibreCat: https://research-explorer.ista.ac.at/record/12707
DOI: 10.3150/22-BEJ1490
WoS: 000947270100008
arXiv: 2112.12093 

On the spectral form factor for random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Communications in Mathematical Physics 401 (2023) 1665–1700.
LibreCat: https://research-explorer.ista.ac.at/record/12792
DOI: 10.1007/s00220-023-04692-y
WoS: 000957343500001

Mesoscopic central limit theorem for non-Hermitian random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields (2023).
LibreCat: https://research-explorer.ista.ac.at/record/14408
DOI: 10.1007/s00440-023-01229-1
arXiv: 2210.12060

Dynamics of a rank-one perturbation of a Hermitian matrix
G. Dubach, L. Erdös, Electronic Communications in Probability 28 (2023) 1–13.
LibreCat: https://research-explorer.ista.ac.at/record/12683
DOI: 10.1214/23-ECP516
WoS: 000950650200005
arXiv: 2108.13694

Functional central limit theorems for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Annals of Applied Probability 33 (2023) 447–489.
LibreCat: https://research-explorer.ista.ac.at/record/12761
DOI: 10.1214/22-AAP1820
WoS: 000946432400015
arXiv: 2012.13218

Universality in low-dimensional BCS theory
S.J. Henheik, A.B. Lauritsen, B. Roos, Reviews in Mathematical Physics (2023).
LibreCat: https://research-explorer.ista.ac.at/record/14542
DOI: 10.1142/s0129055x2360005x
arXiv: 2301.05621

Functional CLT for non-Hermitian random matrices
L. Erdös, H.C. Ji, Annales de l’institut Henri Poincare (B) Probability and Statistics 59 (2023) 2083–2105.
LibreCat: https://research-explorer.ista.ac.at/record/14667
DOI: 10.1214/22-AIHP1304
arXiv: 2112.11382

Eigenstate thermalisation hypothesis for translation invariant spin systems
S. Sugimoto, S.J. Henheik, V. Riabov, L. Erdös, Journal of Statistical Physics 190 (2023).
LibreCat: https://research-explorer.ista.ac.at/record/13317
DOI: 10.1007/s10955-023-03132-4
WoS: 001035677200002
arXiv: 2304.04213

Spectrum of Lévy–Khintchine random laplacian matrices
A.J. Campbell, S. O’Rourke, Journal of Theoretical Probability (2023).
LibreCat: https://research-explorer.ista.ac.at/record/13975
DOI: 10.1007/s10959-023-01275-4
WoS: 001038341000001
arXiv: 2210.07927

Gaussian fluctuations in the equipartition principle for Wigner matrices
G. Cipolloni, L. Erdös, S.J. Henheik, O. Kolupaiev, Forum of Mathematics, Sigma 11 (2023).
LibreCat: https://research-explorer.ista.ac.at/record/14343
DOI: 10.1017/fms.2023.70
WoS: 001051980200001
arXiv: 2301.05181

Creation rate of Dirac particles at a point source
S.J. Henheik, R. Tumulka, Journal of Physics A: Mathematical and Theoretical 56 (2023).
LibreCat: https://research-explorer.ista.ac.at/record/14421
DOI: 10.1088/1751-8121/acfe62
WoS: 001080908000001
arXiv: 2211.16606

Local laws for multiplication of random matrices
X. Ding, H.C. Ji, The Annals of Applied Probability 33 (2023) 2981–3009.
LibreCat: https://research-explorer.ista.ac.at/record/14750
DOI: 10.1214/22-aap1882
arXiv: 2010.16083

Convergence rate to the Tracy–Widom laws for the largest eigenvalue of sample covariance matrices
K. Schnelli, Y. Xu, The Annals of Applied Probability 33 (2023) 677–725.
LibreCat: https://research-explorer.ista.ac.at/record/14775
DOI: 10.1214/22-aap1826
WoS: 000946432400021
arXiv: 2108.02728

Spiked multiplicative random matrices and principal components
X. Ding, H.C. Ji, Stochastic Processes and Their Applications 163 (2023) 25–60.
LibreCat: https://research-explorer.ista.ac.at/record/14780
DOI: 10.1016/j.spa.2023.05.009
WoS: 001113615900001
arXiv: 2302.13502