Random matrices beyond Wigner-Dyson-Mehta
Project Period: 2021-10-01 – 2026-09-30
Externally Funded
Acronym
RMTBEYOND
Principal Investigator
László Erdös
Grant Number
101020331
Funding Organisation
EC/H2020
16 Publications
2023 | 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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| arXiv
S. Sugimoto, S.J. Henheik, V. Riabov, L. Erdös, Journal of Statistical Physics 190 (2023).
2023 | Journal Article | IST-REx-ID: 12683 |

Dynamics of a rank-one perturbation of a Hermitian matrix
G. Dubach, L. Erdös, Electronic Communications in Probability 28 (2023) 1–13.
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| WoS
| arXiv
G. Dubach, L. Erdös, Electronic Communications in Probability 28 (2023) 1–13.
2023 | Journal Article | IST-REx-ID: 12707 |

Small deviation estimates for the largest eigenvalue of Wigner matrices
L. Erdös, Y. Xu, Bernoulli 29 (2023) 1063–1079.
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| WoS
| arXiv
L. Erdös, Y. Xu, Bernoulli 29 (2023) 1063–1079.
2023 | Journal Article | IST-REx-ID: 12761 |

Functional central limit theorems for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Annals of Applied Probability 33 (2023) 447–489.
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| arXiv
G. Cipolloni, L. Erdös, D.J. Schröder, Annals of Applied Probability 33 (2023) 447–489.
2022 | Journal Article | IST-REx-ID: 10600 |

Adiabatic theorem in the thermodynamic limit: Systems with a uniform gap
S.J. Henheik, S. Teufel, Journal of Mathematical Physics 63 (2022).
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S.J. Henheik, S. Teufel, Journal of Mathematical Physics 63 (2022).
2022 | Journal Article | IST-REx-ID: 10642 |

Local stability of ground states in locally gapped and weakly interacting quantum spin systems
S.J. Henheik, S. Teufel, T. Wessel, Letters in Mathematical Physics 112 (2022).
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| arXiv
S.J. Henheik, S. Teufel, T. Wessel, Letters in Mathematical Physics 112 (2022).
2022 | Journal Article | IST-REx-ID: 10643 |

Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk
S.J. Henheik, S. Teufel, Forum of Mathematics, Sigma 10 (2022).
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| WoS
| arXiv
S.J. Henheik, S. Teufel, Forum of Mathematics, Sigma 10 (2022).
2022 | Journal Article | IST-REx-ID: 10623 |

The BCS critical temperature at high density
S.J. Henheik, Mathematical Physics, Analysis and Geometry 25 (2022).
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| WoS
| arXiv
S.J. Henheik, Mathematical Physics, Analysis and Geometry 25 (2022).
2022 | Journal Article | IST-REx-ID: 11332 |

Convergence rate to the Tracy–Widom laws for the largest Eigenvalue of Wigner matrices
K. Schnelli, Y. Xu, Communications in Mathematical Physics 393 (2022) 839–907.
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K. Schnelli, Y. Xu, Communications in Mathematical Physics 393 (2022) 839–907.
2022 | Journal Article | IST-REx-ID: 12110 |

Interior-boundary conditions for the Dirac equation at point sources in three dimensions
S.J. Henheik, R. Tumulka, Journal of Mathematical Physics 63 (2022).
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S.J. Henheik, R. Tumulka, Journal of Mathematical Physics 63 (2022).
2022 | Journal Article | IST-REx-ID: 12148 |

Rank-uniform local law for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Forum of Mathematics, Sigma 10 (2022).
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G. Cipolloni, L. Erdös, D.J. Schröder, Forum of Mathematics, Sigma 10 (2022).
2022 | Journal Article | IST-REx-ID: 12184 |

On adiabatic theory for extended fermionic lattice systems
S.J. Henheik, T. Wessel, Journal of Mathematical Physics 63 (2022).
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| arXiv
S.J. Henheik, T. Wessel, Journal of Mathematical Physics 63 (2022).
2022 | Journal Article | IST-REx-ID: 12243 |

Directional extremal statistics for Ginibre eigenvalues
G. Cipolloni, L. Erdös, D.J. Schröder, Y. Xu, Journal of Mathematical Physics 63 (2022).
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| WoS
| arXiv
G. Cipolloni, L. Erdös, D.J. Schröder, Y. Xu, Journal of Mathematical Physics 63 (2022).
2022 | Journal Article | IST-REx-ID: 12290 |

Optimal multi-resolvent local laws for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Electronic Journal of Probability 27 (2022) 1–38.
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G. Cipolloni, L. Erdös, D.J. Schröder, Electronic Journal of Probability 27 (2022) 1–38.
2022 | Journal Article | IST-REx-ID: 11732 |

The BCS energy gap at high density
S.J. Henheik, A.B. Lauritsen, Journal of Statistical Physics 189 (2022).
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S.J. Henheik, A.B. Lauritsen, Journal of Statistical Physics 189 (2022).
2023 | 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).