Torben H Krüger
Erdoes Group
16 Publications
2020 | Journal Article | IST-REx-ID: 6185 |

Erdös L, Krüger TH, Schröder DJ. Cusp universality for random matrices I: Local law and the complex Hermitian case. Communications in Mathematical Physics. 2020;378:1203-1278. doi:10.1007/s00220-019-03657-4
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| Files available
| DOI
| arXiv
2020 | Journal Article | IST-REx-ID: 6184 |

Alt J, Erdös L, Krüger TH, Schröder DJ. Correlated random matrices: Band rigidity and edge universality. Annals of Probability. 2020;48(2):963-1001.
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| Files available
| Download Preprint (ext.)
| arXiv
2020 | Journal Article | IST-REx-ID: 7512 |

Erdös L, Krüger TH, Nemish Y. Local laws for polynomials of Wigner matrices. Journal of Functional Analysis. 2020;278(12). doi:10.1016/j.jfa.2020.108507
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| DOI
| Download Preprint (ext.)
| arXiv
2019 | Journal Article | IST-REx-ID: 429 |

Ajanki OH, Erdös L, Krüger TH. Stability of the matrix Dyson equation and random matrices with correlations. Probability Theory and Related Fields. 2019;173(1-2):293–373. doi:10.1007/s00440-018-0835-z
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| Files available
| DOI
2019 | Journal Article | IST-REx-ID: 6182 |

Erdös L, Krüger TH, Schröder DJ. Random matrices with slow correlation decay. Forum of Mathematics, Sigma. 2019;7. doi:10.1017/fms.2019.2
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| Files available
| DOI
| arXiv
2019 | Journal Article | IST-REx-ID: 6186 |

Cipolloni G, Erdös L, Krüger TH, Schröder DJ. Cusp universality for random matrices, II: The real symmetric case. Pure and Applied Analysis . 2019;1(4):615–707. doi:10.2140/paa.2019.1.615
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| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2019 | Journal Article | IST-REx-ID: 6240 |

Alt J, Erdös L, Krüger TH, Nemish Y. Location of the spectrum of Kronecker random matrices. Annales de l’institut Henri Poincare. 2019;55(2):661-696. doi:10.1214/18-AIHP894
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| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2018 | Journal Article | IST-REx-ID: 181 |

Erdös L, Krüger TH, Renfrew DT. Power law decay for systems of randomly coupled differential equations. SIAM Journal on Mathematical Analysis. 2018;50(3):3271-3290. doi:10.1137/17M1143125
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| DOI
| Download Published Version (ext.)
| arXiv
2018 | Journal Article | IST-REx-ID: 566 |

Alt J, Erdös L, Krüger TH. Local inhomogeneous circular law. Annals Applied Probability . 2018;28(1):148-203. doi:10.1214/17-AAP1302
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| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2018 | Preprint | IST-REx-ID: 6183 |

Alt J, Erdös L, Krüger TH. The Dyson equation with linear self-energy: Spectral bands, edges and cusps. arXiv.
View
| Files available
| Download Preprint (ext.)
| arXiv
2017 | Journal Article | IST-REx-ID: 1337 |

Ajanki OH, Erdös L, Krüger TH. Universality for general Wigner-type matrices. Probability Theory and Related Fields. 2017;169(3-4):667-727. doi:10.1007/s00440-016-0740-2
View
| Files available
| DOI
2017 | Journal Article | IST-REx-ID: 1010 |

Alt J, Erdös L, Krüger TH. Local law for random Gram matrices. Electronic Journal of Probability. 2017;22. doi:10.1214/17-EJP42
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| Files available
| DOI
| arXiv
2017 | Journal Article | IST-REx-ID: 721 |

Ajanki OH, Krüger TH, Erdös L. Singularities of solutions to quadratic vector equations on the complex upper half plane. Communications on Pure and Applied Mathematics. 2017;70(9):1672-1705. doi:10.1002/cpa.21639
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| DOI
| Download Submitted Version (ext.)
2016 | Journal Article | IST-REx-ID: 1489 |

Ajanki OH, Erdös L, Krüger TH. Local spectral statistics of Gaussian matrices with correlated entries. Journal of Statistical Physics. 2016;163(2):280-302. doi:10.1007/s10955-016-1479-y
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| Files available
| DOI
2015 | Journal Article | IST-REx-ID: 1824 |

Knebel J, Weber M, Krüger TH, Frey E. Evolutionary games of condensates in coupled birth-death processes. Nature Communications. 2015;6. doi:10.1038/ncomms7977
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| Files available
| DOI
2014 | Journal Article | IST-REx-ID: 2179 |

Ajanki OH, Erdös L, Krüger TH. Local semicircle law with imprimitive variance matrix. Electronic Communications in Probability. 2014;19. doi:10.1214/ECP.v19-3121
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| Files available
| DOI
16 Publications
2020 | Journal Article | IST-REx-ID: 6185 |

Erdös L, Krüger TH, Schröder DJ. Cusp universality for random matrices I: Local law and the complex Hermitian case. Communications in Mathematical Physics. 2020;378:1203-1278. doi:10.1007/s00220-019-03657-4
View
| Files available
| DOI
| arXiv
2020 | Journal Article | IST-REx-ID: 6184 |

Alt J, Erdös L, Krüger TH, Schröder DJ. Correlated random matrices: Band rigidity and edge universality. Annals of Probability. 2020;48(2):963-1001.
View
| Files available
| Download Preprint (ext.)
| arXiv
2020 | Journal Article | IST-REx-ID: 7512 |

Erdös L, Krüger TH, Nemish Y. Local laws for polynomials of Wigner matrices. Journal of Functional Analysis. 2020;278(12). doi:10.1016/j.jfa.2020.108507
View
| DOI
| Download Preprint (ext.)
| arXiv
2019 | Journal Article | IST-REx-ID: 429 |

Ajanki OH, Erdös L, Krüger TH. Stability of the matrix Dyson equation and random matrices with correlations. Probability Theory and Related Fields. 2019;173(1-2):293–373. doi:10.1007/s00440-018-0835-z
View
| Files available
| DOI
2019 | Journal Article | IST-REx-ID: 6182 |

Erdös L, Krüger TH, Schröder DJ. Random matrices with slow correlation decay. Forum of Mathematics, Sigma. 2019;7. doi:10.1017/fms.2019.2
View
| Files available
| DOI
| arXiv
2019 | Journal Article | IST-REx-ID: 6186 |

Cipolloni G, Erdös L, Krüger TH, Schröder DJ. Cusp universality for random matrices, II: The real symmetric case. Pure and Applied Analysis . 2019;1(4):615–707. doi:10.2140/paa.2019.1.615
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2019 | Journal Article | IST-REx-ID: 6240 |

Alt J, Erdös L, Krüger TH, Nemish Y. Location of the spectrum of Kronecker random matrices. Annales de l’institut Henri Poincare. 2019;55(2):661-696. doi:10.1214/18-AIHP894
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2018 | Journal Article | IST-REx-ID: 181 |

Erdös L, Krüger TH, Renfrew DT. Power law decay for systems of randomly coupled differential equations. SIAM Journal on Mathematical Analysis. 2018;50(3):3271-3290. doi:10.1137/17M1143125
View
| DOI
| Download Published Version (ext.)
| arXiv
2018 | Journal Article | IST-REx-ID: 566 |

Alt J, Erdös L, Krüger TH. Local inhomogeneous circular law. Annals Applied Probability . 2018;28(1):148-203. doi:10.1214/17-AAP1302
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2018 | Preprint | IST-REx-ID: 6183 |

Alt J, Erdös L, Krüger TH. The Dyson equation with linear self-energy: Spectral bands, edges and cusps. arXiv.
View
| Files available
| Download Preprint (ext.)
| arXiv
2017 | Journal Article | IST-REx-ID: 1337 |

Ajanki OH, Erdös L, Krüger TH. Universality for general Wigner-type matrices. Probability Theory and Related Fields. 2017;169(3-4):667-727. doi:10.1007/s00440-016-0740-2
View
| Files available
| DOI
2017 | Journal Article | IST-REx-ID: 1010 |

Alt J, Erdös L, Krüger TH. Local law for random Gram matrices. Electronic Journal of Probability. 2017;22. doi:10.1214/17-EJP42
View
| Files available
| DOI
| arXiv
2017 | Journal Article | IST-REx-ID: 721 |

Ajanki OH, Krüger TH, Erdös L. Singularities of solutions to quadratic vector equations on the complex upper half plane. Communications on Pure and Applied Mathematics. 2017;70(9):1672-1705. doi:10.1002/cpa.21639
View
| DOI
| Download Submitted Version (ext.)
2016 | Journal Article | IST-REx-ID: 1489 |

Ajanki OH, Erdös L, Krüger TH. Local spectral statistics of Gaussian matrices with correlated entries. Journal of Statistical Physics. 2016;163(2):280-302. doi:10.1007/s10955-016-1479-y
View
| Files available
| DOI
2015 | Journal Article | IST-REx-ID: 1824 |

Knebel J, Weber M, Krüger TH, Frey E. Evolutionary games of condensates in coupled birth-death processes. Nature Communications. 2015;6. doi:10.1038/ncomms7977
View
| Files available
| DOI
2014 | Journal Article | IST-REx-ID: 2179 |

Ajanki OH, Erdös L, Krüger TH. Local semicircle law with imprimitive variance matrix. Electronic Communications in Probability. 2014;19. doi:10.1214/ECP.v19-3121
View
| Files available
| DOI