Giorgio Cipolloni
Erdoes Group
24 Publications
2024 | Published | Journal Article | IST-REx-ID: 18656 |

Out-of-time-ordered correlators for Wigner matrices
G. Cipolloni, L. Erdös, S.J. Henheik, Advances in Theoretical and Mathematical Physics 28 (2024) 2025–2083.
[Preprint]
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G. Cipolloni, L. Erdös, S.J. Henheik, Advances in Theoretical and Mathematical Physics 28 (2024) 2025–2083.
2024 | Published | Journal Article | IST-REx-ID: 17049
Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices
G. Cipolloni, L. Erdös, S.J. Henheik, D.J. Schröder, Journal of Functional Analysis 287 (2024).
[Published Version]
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| DOI
G. Cipolloni, L. Erdös, S.J. Henheik, D.J. Schröder, Journal of Functional Analysis 287 (2024).
2024 | Published | Journal Article | IST-REx-ID: 14408 |

Mesoscopic central limit theorem for non-Hermitian random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields 188 (2024) 1131–1182.
[Preprint]
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| arXiv
G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields 188 (2024) 1131–1182.
2024 | Published | Journal Article | IST-REx-ID: 17375 |

Precise asymptotics for the spectral radius of a large random matrix
G. Cipolloni, L. Erdös, Y. Xu, Journal of Mathematical Physics 65 (2024).
[Preprint]
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| DOI
| Download Preprint (ext.)
| arXiv
G. Cipolloni, L. Erdös, Y. Xu, Journal of Mathematical Physics 65 (2024).
2023 | Published | 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).
[Published Version]
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| Files available
| DOI
| WoS
| arXiv
G. Cipolloni, L. Erdös, S.J. Henheik, O. Kolupaiev, Forum of Mathematics, Sigma 11 (2023).
2023 | Published | Journal Article | IST-REx-ID: 11741 |

Quenched universality for deformed Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields 185 (2023) 1183–1218.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields 185 (2023) 1183–1218.
2023 | Published | 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.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
G. Cipolloni, L. Erdös, D.J. Schröder, Annals of Applied Probability 33 (2023) 447–489.
2023 | Published | Journal Article | IST-REx-ID: 12792 |

On the spectral form factor for random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Communications in Mathematical Physics 401 (2023) 1665–1700.
[Published Version]
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| Files available
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| WoS
G. Cipolloni, L. Erdös, D.J. Schröder, Communications in Mathematical Physics 401 (2023) 1665–1700.
2023 | Published | Journal Article | IST-REx-ID: 14849 |

On the rightmost eigenvalue of non-Hermitian random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Y. Xu, The Annals of Probability 51 (2023) 2192–2242.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
G. Cipolloni, L. Erdös, D.J. Schröder, Y. Xu, The Annals of Probability 51 (2023) 2192–2242.
2023 | Published | Journal Article | IST-REx-ID: 10405 |

Central limit theorem for linear eigenvalue statistics of non-Hermitian random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Communications on Pure and Applied Mathematics 76 (2023) 946–1034.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
G. Cipolloni, L. Erdös, D.J. Schröder, Communications on Pure and Applied Mathematics 76 (2023) 946–1034.
2022 | Published | Journal Article | IST-REx-ID: 10732 |

Thermalisation for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Journal of Functional Analysis 282 (2022).
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
G. Cipolloni, L. Erdös, D.J. Schröder, Journal of Functional Analysis 282 (2022).
2022 | Published | Journal Article | IST-REx-ID: 11418 |

Normal fluctuation in quantum ergodicity for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Annals of Probability 50 (2022) 984–1012.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
G. Cipolloni, L. Erdös, D.J. Schröder, Annals of Probability 50 (2022) 984–1012.
2022 | Published | 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).
[Published Version]
View
| Files available
| DOI
| WoS
G. Cipolloni, L. Erdös, D.J. Schröder, Forum of Mathematics, Sigma 10 (2022).
2022 | Published | Journal Article | IST-REx-ID: 12179 |

On the condition number of the shifted real Ginibre ensemble
G. Cipolloni, L. Erdös, D.J. Schröder, SIAM Journal on Matrix Analysis and Applications 43 (2022) 1469–1487.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
G. Cipolloni, L. Erdös, D.J. Schröder, SIAM Journal on Matrix Analysis and Applications 43 (2022) 1469–1487.
2022 | Published | Journal Article | IST-REx-ID: 12232 |

Density of small singular values of the shifted real Ginibre ensemble
G. Cipolloni, L. Erdös, D.J. Schröder, Annales Henri Poincaré 23 (2022) 3981–4002.
[Published Version]
View
| Files available
| DOI
| WoS
G. Cipolloni, L. Erdös, D.J. Schröder, Annales Henri Poincaré 23 (2022) 3981–4002.
2022 | Published | 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).
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
G. Cipolloni, L. Erdös, D.J. Schröder, Y. Xu, Journal of Mathematical Physics 63 (2022).
2022 | Published | 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.
[Published Version]
View
| Files available
| DOI
| WoS
G. Cipolloni, L. Erdös, D.J. Schröder, Electronic Journal of Probability 27 (2022) 1–38.
2021 | Published | Journal Article | IST-REx-ID: 10221 |

Eigenstate thermalization hypothesis for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Communications in Mathematical Physics 388 (2021) 1005–1048.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
G. Cipolloni, L. Erdös, D.J. Schröder, Communications in Mathematical Physics 388 (2021) 1005–1048.
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.
[Published Version]
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| Files available
| DOI
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).
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
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).
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
G. Cipolloni, L. Erdös, D.J. Schröder, Electronic Journal of Probability 26 (2021).
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.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
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).
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
G. Cipolloni, L. Erdös, Random Matrices: Theory and Application 9 (2020).
2019 | Published | Journal Article | IST-REx-ID: 6186 |

Cusp universality for random matrices, II: The real symmetric case
G. Cipolloni, L. Erdös, T.H. Krüger, D.J. Schröder, Pure and Applied Analysis 1 (2019) 615–707.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
G. Cipolloni, L. Erdös, T.H. Krüger, D.J. Schröder, Pure and Applied Analysis 1 (2019) 615–707.
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24 Publications
2024 | Published | Journal Article | IST-REx-ID: 18656 |

Out-of-time-ordered correlators for Wigner matrices
G. Cipolloni, L. Erdös, S.J. Henheik, Advances in Theoretical and Mathematical Physics 28 (2024) 2025–2083.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
G. Cipolloni, L. Erdös, S.J. Henheik, Advances in Theoretical and Mathematical Physics 28 (2024) 2025–2083.
2024 | Published | Journal Article | IST-REx-ID: 17049
Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices
G. Cipolloni, L. Erdös, S.J. Henheik, D.J. Schröder, Journal of Functional Analysis 287 (2024).
[Published Version]
View
| DOI
G. Cipolloni, L. Erdös, S.J. Henheik, D.J. Schröder, Journal of Functional Analysis 287 (2024).
2024 | Published | Journal Article | IST-REx-ID: 14408 |

Mesoscopic central limit theorem for non-Hermitian random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields 188 (2024) 1131–1182.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields 188 (2024) 1131–1182.
2024 | Published | Journal Article | IST-REx-ID: 17375 |

Precise asymptotics for the spectral radius of a large random matrix
G. Cipolloni, L. Erdös, Y. Xu, Journal of Mathematical Physics 65 (2024).
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
G. Cipolloni, L. Erdös, Y. Xu, Journal of Mathematical Physics 65 (2024).
2023 | Published | 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).
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
G. Cipolloni, L. Erdös, S.J. Henheik, O. Kolupaiev, Forum of Mathematics, Sigma 11 (2023).
2023 | Published | Journal Article | IST-REx-ID: 11741 |

Quenched universality for deformed Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields 185 (2023) 1183–1218.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields 185 (2023) 1183–1218.
2023 | Published | 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.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
G. Cipolloni, L. Erdös, D.J. Schröder, Annals of Applied Probability 33 (2023) 447–489.
2023 | Published | Journal Article | IST-REx-ID: 12792 |

On the spectral form factor for random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Communications in Mathematical Physics 401 (2023) 1665–1700.
[Published Version]
View
| Files available
| DOI
| WoS
G. Cipolloni, L. Erdös, D.J. Schröder, Communications in Mathematical Physics 401 (2023) 1665–1700.
2023 | Published | Journal Article | IST-REx-ID: 14849 |

On the rightmost eigenvalue of non-Hermitian random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Y. Xu, The Annals of Probability 51 (2023) 2192–2242.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
G. Cipolloni, L. Erdös, D.J. Schröder, Y. Xu, The Annals of Probability 51 (2023) 2192–2242.
2023 | Published | Journal Article | IST-REx-ID: 10405 |

Central limit theorem for linear eigenvalue statistics of non-Hermitian random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Communications on Pure and Applied Mathematics 76 (2023) 946–1034.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
G. Cipolloni, L. Erdös, D.J. Schröder, Communications on Pure and Applied Mathematics 76 (2023) 946–1034.
2022 | Published | Journal Article | IST-REx-ID: 10732 |

Thermalisation for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Journal of Functional Analysis 282 (2022).
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
G. Cipolloni, L. Erdös, D.J. Schröder, Journal of Functional Analysis 282 (2022).
2022 | Published | Journal Article | IST-REx-ID: 11418 |

Normal fluctuation in quantum ergodicity for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Annals of Probability 50 (2022) 984–1012.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
G. Cipolloni, L. Erdös, D.J. Schröder, Annals of Probability 50 (2022) 984–1012.
2022 | Published | 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).
[Published Version]
View
| Files available
| DOI
| WoS
G. Cipolloni, L. Erdös, D.J. Schröder, Forum of Mathematics, Sigma 10 (2022).
2022 | Published | Journal Article | IST-REx-ID: 12179 |

On the condition number of the shifted real Ginibre ensemble
G. Cipolloni, L. Erdös, D.J. Schröder, SIAM Journal on Matrix Analysis and Applications 43 (2022) 1469–1487.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
G. Cipolloni, L. Erdös, D.J. Schröder, SIAM Journal on Matrix Analysis and Applications 43 (2022) 1469–1487.
2022 | Published | Journal Article | IST-REx-ID: 12232 |

Density of small singular values of the shifted real Ginibre ensemble
G. Cipolloni, L. Erdös, D.J. Schröder, Annales Henri Poincaré 23 (2022) 3981–4002.
[Published Version]
View
| Files available
| DOI
| WoS
G. Cipolloni, L. Erdös, D.J. Schröder, Annales Henri Poincaré 23 (2022) 3981–4002.
2022 | Published | 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).
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
G. Cipolloni, L. Erdös, D.J. Schröder, Y. Xu, Journal of Mathematical Physics 63 (2022).
2022 | Published | 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.
[Published Version]
View
| Files available
| DOI
| WoS
G. Cipolloni, L. Erdös, D.J. Schröder, Electronic Journal of Probability 27 (2022) 1–38.
2021 | Published | Journal Article | IST-REx-ID: 10221 |

Eigenstate thermalization hypothesis for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Communications in Mathematical Physics 388 (2021) 1005–1048.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
G. Cipolloni, L. Erdös, D.J. Schröder, Communications in Mathematical Physics 388 (2021) 1005–1048.
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.
[Published Version]
View
| Files available
| DOI
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).
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
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).
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
G. Cipolloni, L. Erdös, D.J. Schröder, Electronic Journal of Probability 26 (2021).
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.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
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).
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
G. Cipolloni, L. Erdös, Random Matrices: Theory and Application 9 (2020).
2019 | Published | Journal Article | IST-REx-ID: 6186 |

Cusp universality for random matrices, II: The real symmetric case
G. Cipolloni, L. Erdös, T.H. Krüger, D.J. Schröder, Pure and Applied Analysis 1 (2019) 615–707.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
G. Cipolloni, L. Erdös, T.H. Krüger, D.J. Schröder, Pure and Applied Analysis 1 (2019) 615–707.