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143 Publications
2021 | Submitted | Preprint | IST-REx-ID: 9281 |

Formal verification of Zagier's one-sentence proof
G. Dubach, F. Mühlböck, ArXiv (n.d.).
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G. Dubach, F. Mühlböck, ArXiv (n.d.).
2021 | Published | Journal Article | IST-REx-ID: 15013 |

Spectral radius of random matrices with independent entries
J. Alt, L. Erdös, T.H. Krüger, Probability and Mathematical Physics 2 (2021) 221–280.
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J. Alt, L. Erdös, T.H. Krüger, Probability and Mathematical Physics 2 (2021) 221–280.
2021 | Published | Journal Article | IST-REx-ID: 15259 |

On words of non-Hermitian random matrices
G. Dubach, Y. Peled, The Annals of Probability 49 (2021) 1886–1916.
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G. Dubach, Y. Peled, The Annals of Probability 49 (2021) 1886–1916.
2021 | Published | Journal Article | IST-REx-ID: 8373 |

A divergence center interpretation of general symmetric Kubo-Ando means, and related weighted multivariate operator means
J. Pitrik, D. Virosztek, Linear Algebra and Its Applications 609 (2021) 203–217.
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J. Pitrik, D. Virosztek, Linear Algebra and Its Applications 609 (2021) 203–217.
2021 | Published | Thesis | IST-REx-ID: 9022 |

Fluctuations in the spectrum of random matrices
G. Cipolloni, Fluctuations in the Spectrum of Random Matrices, Institute of Science and Technology Austria, 2021.
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G. Cipolloni, Fluctuations in the Spectrum of Random Matrices, Institute of Science and Technology Austria, 2021.
2021 | Published | Journal Article | IST-REx-ID: 8601 |

Edge universality for non-Hermitian random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields (2021).
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G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields (2021).
2021 | Published | Journal Article | IST-REx-ID: 9412 |

Fluctuation around the circular law for random matrices with real entries
G. Cipolloni, L. Erdös, D.J. Schröder, Electronic Journal of Probability 26 (2021).
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G. Cipolloni, L. Erdös, D.J. Schröder, Electronic Journal of Probability 26 (2021).
2020 | Published | Journal Article | IST-REx-ID: 6185 |

Cusp universality for random matrices I: Local law and the complex Hermitian case
L. Erdös, T.H. Krüger, D.J. Schröder, Communications in Mathematical Physics 378 (2020) 1203–1278.
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L. Erdös, T.H. Krüger, D.J. Schröder, Communications in Mathematical Physics 378 (2020) 1203–1278.
2020 | Published | Journal Article | IST-REx-ID: 6184 |

Correlated random matrices: Band rigidity and edge universality
J. Alt, L. Erdös, T.H. Krüger, D.J. Schröder, Annals of Probability 48 (2020) 963–1001.
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J. Alt, L. Erdös, T.H. Krüger, D.J. Schröder, Annals of Probability 48 (2020) 963–1001.
2020 | Published | Journal Article | IST-REx-ID: 9104 |

On the support of the free additive convolution
Z. Bao, L. Erdös, K. Schnelli, Journal d’Analyse Mathematique 142 (2020) 323–348.
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Z. Bao, L. Erdös, K. Schnelli, Journal d’Analyse Mathematique 142 (2020) 323–348.
2020 | Published | Journal Article | IST-REx-ID: 14694 |

The Dyson equation with linear self-energy: Spectral bands, edges and cusps
J. Alt, L. Erdös, T.H. Krüger, Documenta Mathematica 25 (2020) 1421–1539.
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J. Alt, L. Erdös, T.H. Krüger, Documenta Mathematica 25 (2020) 1421–1539.
2020 | Published | Journal Article | IST-REx-ID: 10862 |

Spectral rigidity for addition of random matrices at the regular edge
Z. Bao, L. Erdös, K. Schnelli, Journal of Functional Analysis 279 (2020).
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Z. Bao, L. Erdös, K. Schnelli, Journal of Functional Analysis 279 (2020).
2020 | Published | Journal Article | IST-REx-ID: 15079
Random matrices
L. Erdös, F. Götze, A. Guionnet, Oberwolfach Reports 16 (2020) 3459–3527.
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L. Erdös, F. Götze, A. Guionnet, Oberwolfach Reports 16 (2020) 3459–3527.
2020 | Published | Journal Article | IST-REx-ID: 7389 |

Isometric study of Wasserstein spaces - the real line
G.P. Geher, T. Titkos, D. Virosztek, Transactions of the American Mathematical Society 373 (2020) 5855–5883.
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G.P. Geher, T. Titkos, D. Virosztek, Transactions of the American Mathematical Society 373 (2020) 5855–5883.
2020 | Published | Journal Article | IST-REx-ID: 7512 |

Local laws for polynomials of Wigner matrices
L. Erdös, T.H. Krüger, Y. Nemish, Journal of Functional Analysis 278 (2020).
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L. Erdös, T.H. Krüger, Y. Nemish, Journal of Functional Analysis 278 (2020).
2020 | Published | Journal Article | IST-REx-ID: 7618 |

Quantum Hellinger distances revisited
J. Pitrik, D. Virosztek, Letters in Mathematical Physics 110 (2020) 2039–2052.
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J. Pitrik, D. Virosztek, Letters in Mathematical Physics 110 (2020) 2039–2052.
2020 | Published | Journal Article | IST-REx-ID: 15063 |

Optimal lower bound on the least singular value of the shifted Ginibre ensemble
G. Cipolloni, L. Erdös, D.J. Schröder, Probability and Mathematical Physics 1 (2020) 101–146.
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G. Cipolloni, L. Erdös, D.J. Schröder, Probability and Mathematical Physics 1 (2020) 101–146.
2020 | Published | Journal Article | IST-REx-ID: 6488 |

Fluctuations for differences of linear eigenvalue statistics for sample covariance matrices
G. Cipolloni, L. Erdös, Random Matrices: Theory and Application 9 (2020).
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G. Cipolloni, L. Erdös, Random Matrices: Theory and Application 9 (2020).
2019 | Published | Journal Article | IST-REx-ID: 405 |

Jointly convex quantum Jensen divergences
D. Virosztek, Linear Algebra and Its Applications 576 (2019) 67–78.
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D. Virosztek, Linear Algebra and Its Applications 576 (2019) 67–78.
2019 | Published | Journal Article | IST-REx-ID: 6240 |

Location of the spectrum of Kronecker random matrices
J. Alt, L. Erdös, T.H. Krüger, Y. Nemish, Annales de l’institut Henri Poincare 55 (2019) 661–696.
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J. Alt, L. Erdös, T.H. Krüger, Y. Nemish, Annales de l’institut Henri Poincare 55 (2019) 661–696.