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137 Publications
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: 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 | Epub ahead of print | Journal Article | IST-REx-ID: 17047 |
Dynamics of a rank-one multiplicative perturbation of a unitary matrix
G. Dubach, J. Reker, Random Matrices: Theory and Applications (2024).
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G. Dubach, J. Reker, Random Matrices: Theory and Applications (2024).
2024 | In Press | Journal Article | IST-REx-ID: 17049 |
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.).
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G. Cipolloni, L. Erdös, S.J. Henheik, D.J. Schröder, Journal of Functional Analysis 287 (n.d.).
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).
2024 | Published | Thesis | IST-REx-ID: 17164 |
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.
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J. Reker, Central Limit Theorems for Random Matrices: From Resolvents to Free Probability, Institute of Science and Technology Austria, 2024.
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: 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 | Epub ahead of print | 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 (2024).
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L. Erdös, H.C. Ji, Communications on Pure and Applied Mathematics (2024).
2024 | Epub ahead of print | Journal Article | IST-REx-ID: 18112 |
Deformational rigidity of integrable metrics on the torus
S.J. Henheik, Ergodic Theory and Dynamical Systems (2024).
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S.J. Henheik, Ergodic Theory and Dynamical Systems (2024).
2024 | Published | Journal Article | IST-REx-ID: 18554 |
Eigenstate Thermalization Hypothesis for Wigner-type matrices
L. Erdös, V. Riabov, Communications in Mathematical Physics 405 (2024).
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L. Erdös, V. Riabov, Communications in Mathematical Physics 405 (2024).
2023 | Published | Journal Article | IST-REx-ID: 10405 |
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.
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G. Cipolloni, L. Erdös, D.J. Schröder, Communications on Pure and Applied Mathematics 76 (2023) 946–1034.
2023 | Published | Journal Article | IST-REx-ID: 13317 |
Eigenstate thermalisation hypothesis for translation invariant spin systems
S. Sugimoto, S.J. Henheik, V. Riabov, L. Erdös, Journal of Statistical Physics 190 (2023).
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S. Sugimoto, S.J. Henheik, V. Riabov, L. Erdös, Journal of Statistical Physics 190 (2023).
2023 | Published | Journal Article | IST-REx-ID: 14343 |
Gaussian fluctuations in the equipartition principle for Wigner matrices
G. Cipolloni, L. Erdös, S.J. Henheik, O. Kolupaiev, Forum of Mathematics, Sigma 11 (2023).
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G. Cipolloni, L. Erdös, S.J. Henheik, O. Kolupaiev, Forum of Mathematics, Sigma 11 (2023).
2023 | Published | Journal Article | IST-REx-ID: 14421 |
Creation rate of Dirac particles at a point source
S.J. Henheik, R. Tumulka, Journal of Physics A: Mathematical and Theoretical 56 (2023).
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S.J. Henheik, R. Tumulka, Journal of Physics A: Mathematical and Theoretical 56 (2023).
2023 | Epub ahead of print | Journal Article | IST-REx-ID: 14542 |
Universality in low-dimensional BCS theory
S.J. Henheik, A.B. Lauritsen, B. Roos, Reviews in Mathematical Physics (2023).
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S.J. Henheik, A.B. Lauritsen, B. Roos, Reviews in Mathematical Physics (2023).
2023 | Published | Journal Article | IST-REx-ID: 11741 |
Quenched universality for deformed Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields 185 (2023) 1183–1218.
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G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields 185 (2023) 1183–1218.
2023 | Published | Journal Article | IST-REx-ID: 17079 |
Characteristic polynomials of random truncations: Moments, duality and asymptotics
A. Serebryakov, N. Simm, G. Dubach, Random Matrices: Theory and Applications 12 (2023).
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A. Serebryakov, N. Simm, G. Dubach, Random Matrices: Theory and Applications 12 (2023).
2023 | Submitted | Preprint | IST-REx-ID: 17173 |
Multi-point functional central limit theorem for Wigner Matrices
J. Reker, ArXiv (n.d.).
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J. Reker, ArXiv (n.d.).