Please note that ISTA Research Explorer 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 |

Cipolloni G, Erdös L, Ji HC. Non–Hermitian spectral universality at critical points. Probability Theory and Related Fields. 2025. doi:10.1007/s00440-025-01384-7
[Published Version]
View
| DOI
| Download Published Version (ext.)
2025 | Published | Thesis | IST-REx-ID: 19540 |

Henheik SJ. Modeling complex quantum systems : Random matrices, BCS theory, and quantum lattice systems. 2025. doi:10.15479/AT-ISTA-19540
[Published Version]
View
| Files available
| DOI
2025 | Published | Journal Article | IST-REx-ID: 18764 |

Erdös L, Henheik SJ, Reker J, Riabov V. Prethermalization for deformed Wigner matrices. Annales Henri Poincare. 2025;26:1991-2033. doi:10.1007/s00023-024-01518-y
[Published Version]
View
| Files available
| DOI
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 13975 |

Campbell AJ, O’Rourke S. Spectrum of Lévy–Khintchine random laplacian matrices. Journal of Theoretical Probability. 2024;37:933-973. doi:10.1007/s10959-023-01275-4
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 17281 |

Campbell AJ, O’Rourke S, Renfrew DT. The fractional free convolution of R-diagonal elements and random polynomials under repeated differentiation. International Mathematics Research Notices. 2024;2024(13):10189-10218. doi:10.1093/imrn/rnae062
[Published Version]
View
| Files available
| DOI
2024 | Published | Journal Article | IST-REx-ID: 15378 |

Erdös L, Ji HC. Wegner estimate and upper bound on the eigenvalue condition number of non-Hermitian random matrices. Communications on Pure and Applied Mathematics. 2024;77(9):3785-3840. doi:10.1002/cpa.22201
[Published Version]
View
| Files available
| DOI
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 18762 |

Reker J. Multi-point functional central limit theorem for Wigner matrices. Electronic Journal of Probability. 2024;29. doi:10.1214/24-EJP1247
[Published Version]
View
| Files available
| DOI
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 14408 |

Cipolloni G, Erdös L, Schröder DJ. Mesoscopic central limit theorem for non-Hermitian random matrices. Probability Theory and Related Fields. 2024;188:1131-1182. doi:10.1007/s00440-023-01229-1
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 17375 |

Cipolloni G, Erdös L, Xu Y. Precise asymptotics for the spectral radius of a large random matrix. Journal of Mathematical Physics. 2024;65(6). doi:10.1063/5.0209705
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 15025 |

Erdös L, McKenna B. Extremal statistics of quadratic forms of GOE/GUE eigenvectors. Annals of Applied Probability. 2024;34(1B):1623-1662. doi:10.1214/23-AAP2000
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 17154 |

Reker J. Fluctuation moments for regular functions of Wigner Matrices. Mathematical Physics, Analysis and Geometry. 2024;27(3). doi:10.1007/s11040-024-09483-y
[Published Version]
View
| Files available
| DOI
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 17047 |

Dubach G, Reker J. Dynamics of a rank-one multiplicative perturbation of a unitary matrix. Random Matrices: Theory and Applications. 2024;13(2). doi:10.1142/s2010326324500072
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 18554 |

Erdös L, Riabov V. Eigenstate Thermalization Hypothesis for Wigner-type matrices. Communications in Mathematical Physics. 2024;405(12). doi:10.1007/s00220-024-05143-y
[Published Version]
View
| Files available
| DOI
| PubMed | Europe PMC
| arXiv
2024 | Draft | Preprint | IST-REx-ID: 19550 |

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

Cipolloni G, Erdös L, Henheik SJ. Out-of-time-ordered correlators for Wigner matrices. Advances in Theoretical and Mathematical Physics. 2024;28(6):2025-2083. doi:10.4310/ATMP.241031013250
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2024 | Draft | Preprint | IST-REx-ID: 19545 |

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

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

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

Henheik SJ, Lauritsen AB, Roos B. Universality in low-dimensional BCS theory. Reviews in Mathematical Physics. 2024;36(9). doi:10.1142/s0129055x2360005x
[Published Version]
View
| Files available
| DOI
| arXiv
2024 | Published | Thesis | IST-REx-ID: 17164 |

Reker J. Central limit theorems for random matrices: From resolvents to free probability. 2024. doi:10.15479/at:ista:17164
[Published Version]
View
| Files available
| DOI