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103 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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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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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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S.J. Henheik, S. Teufel, Forum of Mathematics, Sigma 10 (2022).
2022 | Journal Article | IST-REx-ID: 11135 |

On the operator norm of a Hermitian random matrix with correlated entries
J. Reker, Random Matrices: Theory and Applications (2022).
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J. Reker, Random Matrices: Theory and Applications (2022).
2022 | 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.
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G. Cipolloni, L. Erdös, D.J. Schröder, Annals of Probability 50 (2022) 984–1012.
2022 | Journal Article | IST-REx-ID: 10732 |

Thermalisation for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Journal of Functional Analysis 282 (2022).
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G. Cipolloni, L. Erdös, D.J. Schröder, Journal of Functional Analysis 282 (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: 11741 |

Quenched universality for deformed Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields (2022).
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G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields (2022).
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: 12290
Optimal multi-resolvent local laws for Wigner matrices
Cipolloni, Giorgio, Optimal multi-resolvent local laws for Wigner matrices. Electronic Journal of Probability 27. 2022
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Cipolloni, Giorgio, Optimal multi-resolvent local laws for Wigner matrices. Electronic Journal of Probability 27. 2022
2022 | Journal Article | IST-REx-ID: 12243
Directional extremal statistics for Ginibre eigenvalues
Cipolloni, Giorgio, Directional extremal statistics for Ginibre eigenvalues. Journal of Mathematical Physics 63 (10). 2022
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Cipolloni, Giorgio, Directional extremal statistics for Ginibre eigenvalues. Journal of Mathematical Physics 63 (10). 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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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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S.J. Henheik, T. Wessel, Journal of Mathematical Physics 63 (2022).
2022 | 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.
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G. Cipolloni, L. Erdös, D.J. Schröder, SIAM Journal on Matrix Analysis and Applications 43 (2022) 1469–1487.
2022 | Journal Article | IST-REx-ID: 12214 |

The isometry group of Wasserstein spaces: The Hilbertian case
G.P. Gehér, T. Titkos, D. Virosztek, Journal of the London Mathematical Society 106 (2022) 3865–3894.
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G.P. Gehér, T. Titkos, D. Virosztek, Journal of the London Mathematical Society 106 (2022) 3865–3894.
2022 | 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.
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G. Cipolloni, L. Erdös, D.J. Schröder, Annales Henri Poincaré 23 (2022) 3981–4002.
2021 | 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 | Thesis | IST-REx-ID: 9022 |

Fluctuations in the spectrum of random matrices
G. Cipolloni, Fluctuations in the Spectrum of Random Matrices, IST Austria, 2021.
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G. Cipolloni, Fluctuations in the Spectrum of Random Matrices, IST Austria, 2021.
2021 | Journal Article | IST-REx-ID: 9036 |

The metric property of the quantum Jensen-Shannon divergence
D. Virosztek, Advances in Mathematics 380 (2021).
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D. Virosztek, Advances in Mathematics 380 (2021).
2021 | Preprint | IST-REx-ID: 9230 |

Maxima of a random model of the Riemann zeta function over intervals of varying length
L.-P. Arguin, G. Dubach, L. Hartung, ArXiv (n.d.).
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L.-P. Arguin, G. Dubach, L. Hartung, ArXiv (n.d.).
2021 | 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 | 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.
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G. Cipolloni, L. Erdös, D.J. Schröder, Communications in Mathematical Physics 388 (2021) 1005–1048.
2021 | Journal Article | IST-REx-ID: 10285 |

On eigenvector statistics in the spherical and truncated unitary ensembles
G. Dubach, Electronic Journal of Probability 26 (2021).
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G. Dubach, Electronic Journal of Probability 26 (2021).
2021 | 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).
2021 | Journal Article | IST-REx-ID: 9550 |

Equipartition principle for Wigner matrices
Z. Bao, L. Erdös, K. Schnelli, Forum of Mathematics, Sigma 9 (2021).
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Z. Bao, L. Erdös, K. Schnelli, Forum of Mathematics, Sigma 9 (2021).
2021 | Journal Article | IST-REx-ID: 9912 |

Scattering in quantum dots via noncommutative rational functions
L. Erdös, T.H. Krüger, Y. Nemish, Annales Henri Poincaré 22 (2021) 4205–4269.
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L. Erdös, T.H. Krüger, Y. Nemish, Annales Henri Poincaré 22 (2021) 4205–4269.
2021 | 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 (2021).
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G. Cipolloni, L. Erdös, D.J. Schröder, Communications on Pure and Applied Mathematics (2021).
2020 | 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 (2020).
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G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields (2020).
2020 | 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 | 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 | 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 | 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 | 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 | 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 | 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).
2020 | 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.
2019 | Conference Paper | IST-REx-ID: 8175 |

New edge asymptotics of skew Young diagrams via free boundaries
D. Betea, J. Bouttier, P. Nejjar, M. Vuletíc, in:, Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics, Formal Power Series and Algebraic Combinatorics, 2019.
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D. Betea, J. Bouttier, P. Nejjar, M. Vuletíc, in:, Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics, Formal Power Series and Algebraic Combinatorics, 2019.
2019 | Conference Paper | IST-REx-ID: 7035 |

Dirac masses and isometric rigidity
G.P. Geher, T. Titkos, D. Virosztek, in:, Kyoto RIMS Kôkyûroku, Research Institute for Mathematical Sciences, Kyoto University, 2019, pp. 34–41.
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G.P. Geher, T. Titkos, D. Virosztek, in:, Kyoto RIMS Kôkyûroku, Research Institute for Mathematical Sciences, Kyoto University, 2019, pp. 34–41.
2019 | Journal Article | IST-REx-ID: 72 |

Limit law of a second class particle in TASEP with non-random initial condition
P. Ferrari, P. Ghosal, P. Nejjar, Annales de l’institut Henri Poincare (B) Probability and Statistics 55 (2019) 1203–1225.
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P. Ferrari, P. Ghosal, P. Nejjar, Annales de l’institut Henri Poincare (B) Probability and Statistics 55 (2019) 1203–1225.
2019 | Journal Article | IST-REx-ID: 7423 |

Finite rank perturbations in products of coupled random matrices: From one correlated to two Wishart ensembles
G. Akemann, T. Checinski, D. Liu, E. Strahov, Annales de l’Institut Henri Poincaré, Probabilités et Statistiques 55 (2019) 441–479.
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G. Akemann, T. Checinski, D. Liu, E. Strahov, Annales de l’Institut Henri Poincaré, Probabilités et Statistiques 55 (2019) 441–479.
2019 | Journal Article | IST-REx-ID: 10879 |

Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function
A.M. Dietlein, M. Gebert, P. Müller, Journal of Spectral Theory 9 (2019) 921–965.
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A.M. Dietlein, M. Gebert, P. Müller, Journal of Spectral Theory 9 (2019) 921–965.
2019 | Journal Article | IST-REx-ID: 6086 |

Singular analytic linear cocycles with negative infinite Lyapunov exponents
C. Sadel, D. Xu, Ergodic Theory and Dynamical Systems 39 (2019) 1082–1098.
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C. Sadel, D. Xu, Ergodic Theory and Dynamical Systems 39 (2019) 1082–1098.
2019 | Thesis | IST-REx-ID: 6179 |

From Dyson to Pearcey: Universal statistics in random matrix theory
D.J. Schröder, From Dyson to Pearcey: Universal Statistics in Random Matrix Theory, IST Austria, 2019.
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D.J. Schröder, From Dyson to Pearcey: Universal Statistics in Random Matrix Theory, IST Austria, 2019.
2019 | Journal Article | IST-REx-ID: 6182 |

Random matrices with slow correlation decay
L. Erdös, T.H. Krüger, D.J. Schröder, Forum of Mathematics, Sigma 7 (2019).
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L. Erdös, T.H. Krüger, D.J. Schröder, Forum of Mathematics, Sigma 7 (2019).
2019 | 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.
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G. Cipolloni, L. Erdös, T.H. Krüger, D.J. Schröder, Pure and Applied Analysis 1 (2019) 615–707.
2019 | 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.
2019 | Journal Article | IST-REx-ID: 6511 |

Local single ring theorem on optimal scale
Z. Bao, L. Erdös, K. Schnelli, Annals of Probability 47 (2019) 1270–1334.
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Z. Bao, L. Erdös, K. Schnelli, Annals of Probability 47 (2019) 1270–1334.
2019 | Journal Article | IST-REx-ID: 6843 |

On isometric embeddings of Wasserstein spaces – the discrete case
G.P. Gehér, T. Titkos, D. Virosztek, Journal of Mathematical Analysis and Applications 480 (2019).
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G.P. Gehér, T. Titkos, D. Virosztek, Journal of Mathematical Analysis and Applications 480 (2019).