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154 Publications
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.
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G. Cipolloni, L. Erdös, T.H. Krüger, D.J. Schröder, Pure and Applied Analysis 1 (2019) 615–707.
2019 | Published | 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, Institute of Science and Technology Austria, 2019.
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D.J. Schröder, From Dyson to Pearcey: Universal Statistics in Random Matrix Theory, Institute of Science and Technology Austria, 2019.
2019 | Published | 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.
2018 | Published | Journal Article | IST-REx-ID: 284 |

Maps on probability measures preserving certain distances - a survey and some new results
D. Virosztek, Acta Scientiarum Mathematicarum 84 (2018) 65–80.
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D. Virosztek, Acta Scientiarum Mathematicarum 84 (2018) 65–80.
2018 | Published | Journal Article | IST-REx-ID: 566 |

Local inhomogeneous circular law
J. Alt, L. Erdös, T.H. Krüger, Annals Applied Probability 28 (2018) 148–203.
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J. Alt, L. Erdös, T.H. Krüger, Annals Applied Probability 28 (2018) 148–203.
2018 | Published | Journal Article | IST-REx-ID: 556 |

The free boundary Schur process and applications I
D. Betea, J. Bouttier, P. Nejjar, M. Vuletic, Annales Henri Poincare 19 (2018) 3663–3742.
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D. Betea, J. Bouttier, P. Nejjar, M. Vuletic, Annales Henri Poincare 19 (2018) 3663–3742.
2018 | Draft | Preprint | IST-REx-ID: 6183 |

The Dyson equation with linear self-energy: Spectral bands, edges and cusps
J. Alt, L. Erdös, T.H. Krüger, ArXiv (n.d.).
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J. Alt, L. Erdös, T.H. Krüger, ArXiv (n.d.).
2018 | Published | Journal Article | IST-REx-ID: 70 |

Transition to shocks in TASEP and decoupling of last passage times
P. Nejjar, Latin American Journal of Probability and Mathematical Statistics 15 (2018) 1311–1334.
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P. Nejjar, Latin American Journal of Probability and Mathematical Statistics 15 (2018) 1311–1334.
2018 | Published | Journal Article | IST-REx-ID: 5971 |

Bounds on the norm of Wigner-type random matrices
L. Erdös, P. Mühlbacher, Random Matrices: Theory and Applications (2018).
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L. Erdös, P. Mühlbacher, Random Matrices: Theory and Applications (2018).
2018 | Published | Journal Article | IST-REx-ID: 690 |

Local law and Tracy–Widom limit for sparse random matrices
J. Lee, K. Schnelli, Probability Theory and Related Fields 171 (2018).
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J. Lee, K. Schnelli, Probability Theory and Related Fields 171 (2018).
2018 | Published | Journal Article | IST-REx-ID: 181 |

Power law decay for systems of randomly coupled differential equations
L. Erdös, T.H. Krüger, D.T. Renfrew, SIAM Journal on Mathematical Analysis 50 (2018) 3271–3290.
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L. Erdös, T.H. Krüger, D.T. Renfrew, SIAM Journal on Mathematical Analysis 50 (2018) 3271–3290.
2018 | Published | Journal Article | IST-REx-ID: 1012 |

Fluctuations of rectangular young diagrams of interlacing wigner eigenvalues
Erdös, László, Fluctuations of rectangular young diagrams of interlacing wigner eigenvalues. International Mathematics Research Notices 2018 (10). 2018
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Erdös, László, Fluctuations of rectangular young diagrams of interlacing wigner eigenvalues. International Mathematics Research Notices 2018 (10). 2018
2018 | Published | Thesis | IST-REx-ID: 149 |

Dyson equation and eigenvalue statistics of random matrices
J. Alt, Dyson Equation and Eigenvalue Statistics of Random Matrices, Institute of Science and Technology Austria, 2018.
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J. Alt, Dyson Equation and Eigenvalue Statistics of Random Matrices, Institute of Science and Technology Austria, 2018.
2017 | Published | Journal Article | IST-REx-ID: 1207 |

Local law of addition of random matrices on optimal scale
Bao, Zhigang, Local law of addition of random matrices on optimal scale. Communications in Mathematical Physics 349 (3). 2017
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Bao, Zhigang, Local law of addition of random matrices on optimal scale. Communications in Mathematical Physics 349 (3). 2017
2017 | Published | Book | IST-REx-ID: 567
A Dynamical Approach to Random Matrix Theory
L. Erdös, H. Yau, A Dynamical Approach to Random Matrix Theory, American Mathematical Society, 2017.
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L. Erdös, H. Yau, A Dynamical Approach to Random Matrix Theory, American Mathematical Society, 2017.
2017 | Published | Journal Article | IST-REx-ID: 447 |

Fluctuations of the competition interface in presence of shocks
P. Ferrari, P. Nejjar, Revista Latino-Americana de Probabilidade e Estatística 9 (2017) 299–325.
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P. Ferrari, P. Nejjar, Revista Latino-Americana de Probabilidade e Estatística 9 (2017) 299–325.
2017 | Published | Journal Article | IST-REx-ID: 1528 |

Delocalization for a class of random block band matrices
Z. Bao, L. Erdös, Probability Theory and Related Fields 167 (2017) 673–776.
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Z. Bao, L. Erdös, Probability Theory and Related Fields 167 (2017) 673–776.
2017 | Published | Journal Article | IST-REx-ID: 1337 |

Universality for general Wigner-type matrices
O.H. Ajanki, L. Erdös, T.H. Krüger, Probability Theory and Related Fields 169 (2017) 667–727.
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O.H. Ajanki, L. Erdös, T.H. Krüger, Probability Theory and Related Fields 169 (2017) 667–727.
2017 | Published | Journal Article | IST-REx-ID: 1144 |

Fluctuations of functions of Wigner matrices
L. Erdös, D.J. Schröder, Electronic Communications in Probability 21 (2017).
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L. Erdös, D.J. Schröder, Electronic Communications in Probability 21 (2017).
2017 | Published | Journal Article | IST-REx-ID: 1010 |

Local law for random Gram matrices
Alt, Johannes, Local law for random Gram matrices. Electronic Journal of Probability 22. 2017
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Alt, Johannes, Local law for random Gram matrices. Electronic Journal of Probability 22. 2017