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
11 Publications
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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| arXiv
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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| arXiv
S.J. Henheik, S. Teufel, Forum of Mathematics, Sigma 10 (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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| arXiv
K. Schnelli, Y. Xu, Communications in Mathematical Physics 393 (2022) 839–907.
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).
2022 | Journal Article | IST-REx-ID: 10623 |

The BCS critical temperature at high density
Henheik, Sven Joscha, The BCS critical temperature at high density. Mathematical Physics, Analysis and Geometry 25 (1). 2022
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| arXiv
Henheik, Sven Joscha, The BCS critical temperature at high density. Mathematical Physics, Analysis and Geometry 25 (1). 2022
2022 | Journal Article | IST-REx-ID: 12110 |

Interior-boundary conditions for the Dirac equation at point sources in three dimensions
Henheik, Sven Joscha, Interior-boundary conditions for the Dirac equation at point sources in three dimensions. Journal of Mathematical Physics 63 (12). 2022
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Henheik, Sven Joscha, Interior-boundary conditions for the Dirac equation at point sources in three dimensions. Journal of Mathematical Physics 63 (12). 2022
2022 | Journal Article | IST-REx-ID: 12148 |

Rank-uniform local law for Wigner matrices
Cipolloni, Giorgio, Rank-uniform local law for Wigner matrices. Forum of Mathematics, Sigma 10. 2022
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Cipolloni, Giorgio, Rank-uniform local law for Wigner matrices. 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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| 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.