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154 Publications
2025 | Published | Journal Article | IST-REx-ID: 19039 | 
Tracy-Widom limit for free sum of random matrices
H.C. Ji, J. Park, The Annals of Probability 53 (2025) 239–298.
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H.C. Ji, J. Park, The Annals of Probability 53 (2025) 239–298.
2025 | Published | Journal Article | IST-REx-ID: 18880 |
Rate of convergence in multiple SLE using random matrix theory
Campbell, Andrew J, Rate of convergence in multiple SLE using random matrix theory. Random Matrices: Theory and Application 14 (1). 2025
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Campbell, Andrew J, Rate of convergence in multiple SLE using random matrix theory. Random Matrices: Theory and Application 14 (1). 2025
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19598 |
Linear Eigenvalue statistics at the cusp
Riabov, Volodymyr, Linear Eigenvalue statistics at the cusp. Probability Theory and Related Fields. 2025
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Riabov, Volodymyr, Linear Eigenvalue statistics at the cusp. Probability Theory and Related Fields. 2025
2025 | Draft | Preprint | IST-REx-ID: 19552 |
How a space-time singularity helps remove the ultraviolet divergence problem
Henheik, Sven Joscha, How a space-time singularity helps remove the ultraviolet divergence problem. arXiv. 2025
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Henheik, Sven Joscha, How a space-time singularity helps remove the ultraviolet divergence problem. arXiv. 2025
2025 | Draft | Preprint | IST-REx-ID: 19546 |
Eigenvector decorrelation for random matrices
Cipolloni, Giorgio, Eigenvector decorrelation for random matrices. arXiv. 2025
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Cipolloni, Giorgio, Eigenvector decorrelation for random matrices. arXiv. 2025
2025 | Published | Journal Article | IST-REx-ID: 18112 |
Deformational rigidity of integrable metrics on the torus
S.J. Henheik, Ergodic Theory and Dynamical Systems 45 (2025) 467–503.
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S.J. Henheik, Ergodic Theory and Dynamical Systems 45 (2025) 467–503.
2025 | Published | Journal Article | IST-REx-ID: 19548 |
Universal behavior of the BCS energy gap
Henheik, Sven Joscha, Universal behavior of the BCS energy gap. Journal of Spectral Theory 15 (1). 2025
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Henheik, Sven Joscha, Universal behavior of the BCS energy gap. Journal of Spectral Theory 15 (1). 2025
2025 | Published | Journal Article | IST-REx-ID: 19500 |
Density of Brown measure of free circular Brownian motion
L. Erdös, H.C. Ji, Documenta Mathematica 30 (2025) 417–453.
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L. Erdös, H.C. Ji, Documenta Mathematica 30 (2025) 417–453.
2025 | Published | Journal Article | IST-REx-ID: 15128 |
Mesoscopic eigenvalue statistics for Wigner-type matrices
V. Riabov, Annales de l’institut Henri Poincare (B) Probability and Statistics 61 (2025) 129–154.
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V. Riabov, Annales de l’institut Henri Poincare (B) Probability and Statistics 61 (2025) 129–154.
2025 | Published | Thesis | IST-REx-ID: 19540 |
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.
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S.J. Henheik, Modeling Complex Quantum Systems : Random Matrices, BCS Theory, and Quantum Lattice Systems, Institute of Science and Technology Austria, 2025.
2025 | Published | Journal Article | IST-REx-ID: 19001 |
Loschmidt echo for deformed Wigner matrices
L. Erdös, S.J. Henheik, O. Kolupaiev, Letters in Mathematical Physics 115 (2025).
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L. Erdös, S.J. Henheik, O. Kolupaiev, Letters in Mathematical Physics 115 (2025).
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19737 |
Non–Hermitian spectral universality at critical points
G. Cipolloni, L. Erdös, H.C. Ji, Probability Theory and Related Fields (2025).
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G. Cipolloni, L. Erdös, H.C. Ji, Probability Theory and Related Fields (2025).
2024 | Published | Journal Article | IST-REx-ID: 13975 |
Spectrum of Lévy–Khintchine random laplacian matrices
A.J. Campbell, S. O’Rourke, Journal of Theoretical Probability 37 (2024) 933–973.
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A.J. Campbell, S. O’Rourke, Journal of Theoretical Probability 37 (2024) 933–973.
2024 | Published | Journal Article | IST-REx-ID: 17281 |
The fractional free convolution of R-diagonal elements and random polynomials under repeated differentiation
A.J. Campbell, S. O’Rourke, D.T. Renfrew, International Mathematics Research Notices 2024 (2024) 10189–10218.
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A.J. Campbell, S. O’Rourke, D.T. Renfrew, International Mathematics Research Notices 2024 (2024) 10189–10218.
2024 | Published | Journal Article | IST-REx-ID: 15378 |
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.
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L. Erdös, H.C. Ji, Communications on Pure and Applied Mathematics 77 (2024) 3785–3840.
2024 | Published | Journal Article | IST-REx-ID: 18762 |
Multi-point functional central limit theorem for Wigner matrices
J. Reker, Electronic Journal of Probability 29 (2024).
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J. Reker, Electronic Journal of Probability 29 (2024).
2024 | Published | Journal Article | IST-REx-ID: 14408 |
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.
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G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields 188 (2024) 1131–1182.
2024 | Published | Journal Article | IST-REx-ID: 17375 |
Precise asymptotics for the spectral radius of a large random matrix
G. Cipolloni, L. Erdös, Y. Xu, Journal of Mathematical Physics 65 (2024).
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G. Cipolloni, L. Erdös, Y. Xu, Journal of Mathematical Physics 65 (2024).
2024 | Published | Journal Article | IST-REx-ID: 15025 |
Extremal statistics of quadratic forms of GOE/GUE eigenvectors
L. Erdös, B. McKenna, Annals of Applied Probability 34 (2024) 1623–1662.
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L. Erdös, B. McKenna, Annals of Applied Probability 34 (2024) 1623–1662.
2024 | Published | Journal Article | IST-REx-ID: 17154 |
Fluctuation moments for regular functions of Wigner Matrices
J. Reker, Mathematical Physics, Analysis and Geometry 27 (2024).
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J. Reker, Mathematical Physics, Analysis and Geometry 27 (2024).