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158 Publications


2025 | Published | Thesis | IST-REx-ID: 19540 | OA
Modeling complex quantum systems : Random matrices, BCS theory, and quantum lattice systems
S.J. Henheik, Modeling Complex Quantum Systems : Random Matrices, BCS Theory, and Quantum Lattice Systems, Institute of Science and Technology Austria, 2025.
[Published Version] View | Files available | DOI
 

2025 | Published | Journal Article | IST-REx-ID: 19548 | OA
Universal behavior of the BCS energy gap
S.J. Henheik, A.B. Lauritsen, Journal of Spectral Theory 15 (2025) 305–352.
[Published Version] View | Files available | DOI | WoS | arXiv
 

2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19598 | OA
Linear Eigenvalue statistics at the cusp
V. Riabov, Probability Theory and Related Fields (2025).
[Published Version] View | DOI | Download Published Version (ext.) | WoS | arXiv
 

2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19737 | OA
Non–Hermitian spectral universality at critical points
G. Cipolloni, L. Erdös, H.C. Ji, Probability Theory and Related Fields (2025).
[Published Version] View | DOI | Download Published Version (ext.) | WoS
 

2025 | Published | Journal Article | IST-REx-ID: 20046 | OA
Extreme eigenvalues of Laplacian random matrices with Gaussian entries
A.J. Campbell, K. Luh, S. O’Rourke, S. Arenas-Velilla, V. Perez-Abreu, Electronic Journal of Probability 30 (2025) 1–52.
[Published Version] View | Files available | DOI | WoS | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 20322 | OA | PlanS
Cusp universality for correlated random matrices
L. Erdös, S.J. Henheik, V. Riabov, Communications in Mathematical Physics 406 (2025).
[Published Version] View | Files available | DOI | WoS | arXiv
 

2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20478 | OA | PlanS
Decorrelation transition in the Wigner minor process
Z. Bao, G. Cipolloni, L. Erdös, S.J. Henheik, O. Kolupaiev, Probability Theory and Related Fields (2025).
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 

2024 | Published | Journal Article | IST-REx-ID: 13975 | OA
Spectrum of Lévy–Khintchine random laplacian matrices
A.J. Campbell, S. O’Rourke, Journal of Theoretical Probability 37 (2024) 933–973.
[Published Version] View | Files available | DOI | WoS | arXiv
 

2024 | Published | Journal Article | IST-REx-ID: 18656 | OA
Out-of-time-ordered correlators for Wigner matrices
G. Cipolloni, L. Erdös, S.J. Henheik, Advances in Theoretical and Mathematical Physics 28 (2024) 2025–2083.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 

2024 | Draft | Preprint | IST-REx-ID: 19545 | OA
Eigenstate thermalisation at the edge for Wigner matrices
G. Cipolloni, L. Erdös, S.J. Henheik, ArXiv (n.d.).
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 

2024 | Draft | Preprint | IST-REx-ID: 19551 | OA
Response theory for locally gapped systems
S.J. Henheik, T. Wessel, ArXiv (n.d.).
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 

2024 | Draft | Preprint | IST-REx-ID: 19550 | OA
Multi-band superconductors have enhanced critical temperatures
S.J. Henheik, E. Langmann, A.B. Lauritsen, ArXiv (n.d.).
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 

2024 | Published | Journal Article | IST-REx-ID: 14542 | OA
Universality in low-dimensional BCS theory
S.J. Henheik, A.B. Lauritsen, B. Roos, Reviews in Mathematical Physics 36 (2024).
[Published Version] View | Files available | DOI | WoS | arXiv
 

2024 | Published | Journal Article | IST-REx-ID: 14408 | OA
Mesoscopic central limit theorem for non-Hermitian random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields 188 (2024) 1131–1182.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

2024 | Published | Journal Article | IST-REx-ID: 15025 | OA
Extremal statistics of quadratic forms of GOE/GUE eigenvectors
L. Erdös, B. McKenna, Annals of Applied Probability 34 (2024) 1623–1662.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

2024 | Published | Journal Article | IST-REx-ID: 15378 | OA
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 77 (2024) 3785–3840.
[Published Version] View | Files available | DOI | WoS | arXiv
 

2024 | Published | Journal Article | IST-REx-ID: 17049 | OA
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 (2024).
[Published Version] View | Files available | DOI | WoS
 

2024 | Published | Journal Article | IST-REx-ID: 17047 | OA
Dynamics of a rank-one multiplicative perturbation of a unitary matrix
G. Dubach, J. Reker, Random Matrices: Theory and Applications 13 (2024).
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 

2024 | Published | Thesis | IST-REx-ID: 17164 | OA
Central limit theorems for random matrices: From resolvents to free probability
J. Reker, Central Limit Theorems for Random Matrices: From Resolvents to Free Probability, Institute of Science and Technology Austria, 2024.
[Published Version] View | Files available | DOI
 

2024 | Published | Journal Article | IST-REx-ID: 17154 | OA
Fluctuation moments for regular functions of Wigner Matrices
J. Reker, Mathematical Physics, Analysis and Geometry 27 (2024).
[Published Version] View | Files available | DOI | WoS | arXiv
 

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