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110 Publications
2018 | 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 | 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 | 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 | Journal Article | IST-REx-ID: 1012 |

Fluctuations of rectangular young diagrams of interlacing wigner eigenvalues
L. Erdös, D.J. Schröder, International Mathematics Research Notices 2018 (2018) 3255–3298.
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L. Erdös, D.J. Schröder, International Mathematics Research Notices 2018 (2018) 3255–3298.
2018 | 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 | 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 | 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 | 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 | 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 | Journal Article | IST-REx-ID: 1023 |

Local law for the product of independent non-Hermitian random matrices with independent entries
Y. Nemish, Electronic Journal of Probability 22 (2017).
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Y. Nemish, Electronic Journal of Probability 22 (2017).
2017 | 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 | Journal Article | IST-REx-ID: 483 |

Universality for a class of random band matrices
P. Bourgade, L. Erdös, H. Yau, J. Yin, Advances in Theoretical and Mathematical Physics 21 (2017) 739–800.
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P. Bourgade, L. Erdös, H. Yau, J. Yin, Advances in Theoretical and Mathematical Physics 21 (2017) 739–800.
2017 | 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 | Journal Article | IST-REx-ID: 615 |

Universality for random matrix flows with time dependent density
L. Erdös, K. Schnelli, Annales de l’institut Henri Poincare (B) Probability and Statistics 53 (2017) 1606–1656.
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L. Erdös, K. Schnelli, Annales de l’institut Henri Poincare (B) Probability and Statistics 53 (2017) 1606–1656.
2017 | Journal Article | IST-REx-ID: 721 |

Singularities of solutions to quadratic vector equations on the complex upper half plane
O.H. Ajanki, T.H. Krüger, L. Erdös, Communications on Pure and Applied Mathematics 70 (2017) 1672–1705.
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O.H. Ajanki, T.H. Krüger, L. Erdös, Communications on Pure and Applied Mathematics 70 (2017) 1672–1705.
2017 | Journal Article | IST-REx-ID: 733 |

Convergence rate for spectral distribution of addition of random matrices
Z. Bao, L. Erdös, K. Schnelli, Advances in Mathematics 319 (2017) 251–291.
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Z. Bao, L. Erdös, K. Schnelli, Advances in Mathematics 319 (2017) 251–291.
2017 | Journal Article | IST-REx-ID: 1010 |

Local law for random Gram matrices
J. Alt, L. Erdös, T.H. Krüger, Electronic Journal of Probability 22 (2017).
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J. Alt, L. Erdös, T.H. Krüger, Electronic Journal of Probability 22 (2017).
2017 | Journal Article | IST-REx-ID: 550 |

Singularities of the density of states of random Gram matrices
J. Alt, Electronic Communications in Probability 22 (2017).
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J. Alt, Electronic Communications in Probability 22 (2017).
2017 | 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 | 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.