Please note that LibreCat no longer supports Internet Explorer versions 8 or 9 (or earlier).
We recommend upgrading to the latest Internet Explorer, Google Chrome, or Firefox.
154 Publications
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).
[Published Version]
View
| DOI
| Download Published Version (ext.)
G. Cipolloni, L. Erdös, H.C. Ji, Probability Theory and Related Fields (2025).
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.
[Published Version]
View
| Files available
| DOI
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: 18764 |

Prethermalization for deformed Wigner matrices
L. Erdös, S.J. Henheik, J. Reker, V. Riabov, Annales Henri Poincare 26 (2025) 1991–2033.
[Published Version]
View
| Files available
| DOI
| arXiv
L. Erdös, S.J. Henheik, J. Reker, V. Riabov, Annales Henri Poincare 26 (2025) 1991–2033.
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.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
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.
[Published Version]
View
| Files available
| DOI
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.
[Published Version]
View
| Files available
| DOI
| arXiv
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).
[Published Version]
View
| Files available
| DOI
| arXiv
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.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
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).
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
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.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
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).
[Published Version]
View
| Files available
| DOI
| arXiv
J. Reker, Mathematical Physics, Analysis and Geometry 27 (2024).
2024 | Published | 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 13 (2024).
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
G. Dubach, J. Reker, Random Matrices: Theory and Applications 13 (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).
[Published Version]
View
| Files available
| DOI
| PubMed | Europe PMC
| arXiv
L. Erdös, V. Riabov, Communications in Mathematical Physics 405 (2024).
2024 | Draft | Preprint | IST-REx-ID: 19550 |

Multi-band superconductors have enhanced critical temperatures
Henheik, Sven Joscha, Multi-band superconductors have enhanced critical temperatures. arXiv. 2024
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
Henheik, Sven Joscha, Multi-band superconductors have enhanced critical temperatures. arXiv. 2024
2024 | Published | Journal Article | IST-REx-ID: 18656 |

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
G. Cipolloni, L. Erdös, S.J. Henheik, Advances in Theoretical and Mathematical Physics 28 (2024) 2025–2083.
2024 | Draft | Preprint | IST-REx-ID: 19545 |

Eigenstate thermalisation at the edge for Wigner matrices
Cipolloni, Giorgio, Eigenstate thermalisation at the edge for Wigner matrices. arXiv. 2024
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
Cipolloni, Giorgio, Eigenstate thermalisation at the edge for Wigner matrices. arXiv. 2024
2024 | Draft | Preprint | IST-REx-ID: 19547 |

Cusp universality for correlated random matrices
Erdös, László, Cusp universality for correlated random matrices. arXiv. 2024
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
Erdös, László, Cusp universality for correlated random matrices. arXiv. 2024
2024 | Draft | Preprint | IST-REx-ID: 19551 |

Response theory for locally gapped systems
Henheik, Sven Joscha, Response theory for locally gapped systems. arXiv. 2024
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
Henheik, Sven Joscha, Response theory for locally gapped systems. arXiv. 2024
2024 | Published | Journal Article | IST-REx-ID: 14542 |

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
| arXiv
S.J. Henheik, A.B. Lauritsen, B. Roos, Reviews in Mathematical Physics 36 (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.
[Published Version]
View
| Files available
| DOI
J. Reker, Central Limit Theorems for Random Matrices: From Resolvents to Free Probability, Institute of Science and Technology Austria, 2024.