Random matrices, universality and disordered quantum systems
Project Period: 2014-03-01 – 2019-08-31
Funder:
European Research Council
Acronym
RANMAT
Principal Investigator
Department(s)
Grant Number
338804
Funder
European Research Council
Funder Schema
FP7-ERC-AdG
Funder Registry
53 Publications
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.
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G. Cipolloni, L. Erdös, D.J. Schröder, Communications on Pure and Applied Mathematics 76 (2023) 946–1034.
2021 | Published | 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 | Published | 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 | 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 | 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).
2020 | Published | Journal Article | IST-REx-ID: 7512 |
Local laws for polynomials of Wigner matrices
Erdös, László, Local laws for polynomials of Wigner matrices. Journal of Functional Analysis 278 (12). 2020
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Erdös, László, Local laws for polynomials of Wigner matrices. Journal of Functional Analysis 278 (12). 2020
2020 | Published | Journal Article | IST-REx-ID: 9104 |
On the support of the free additive convolution
Bao, Zhigang, On the support of the free additive convolution. Journal d'Analyse Mathematique 142. 2020
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Bao, Zhigang, On the support of the free additive convolution. Journal d'Analyse Mathematique 142. 2020
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: 15063 |
Optimal lower bound on the least singular value of the shifted Ginibre ensemble
Cipolloni, Giorgio, Optimal lower bound on the least singular value of the shifted Ginibre ensemble. Probability and Mathematical Physics 1 (1). 2020
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Cipolloni, Giorgio, Optimal lower bound on the least singular value of the shifted Ginibre ensemble. Probability and Mathematical Physics 1 (1). 2020
2020 | Published | Journal Article | IST-REx-ID: 6488 |
Fluctuations for differences of linear eigenvalue statistics for sample covariance matrices
Cipolloni, Giorgio, Fluctuations for differences of linear eigenvalue statistics for sample covariance matrices. Random Matrices: Theory and Application 9 (3). 2020
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Cipolloni, Giorgio, Fluctuations for differences of linear eigenvalue statistics for sample covariance matrices. Random Matrices: Theory and Application 9 (3). 2020
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.
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.
2019 | Published | Journal Article | IST-REx-ID: 6511 |
Local single ring theorem on optimal scale
Bao, Zhigang, Local single ring theorem on optimal scale. Annals of Probability 47 (3). 2019
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Bao, Zhigang, Local single ring theorem on optimal scale. Annals of Probability 47 (3). 2019
2019 | Published | 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 | Published | 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 | Published | Journal Article | IST-REx-ID: 429 |
Stability of the matrix Dyson equation and random matrices with correlations
O.H. Ajanki, L. Erdös, T.H. Krüger, Probability Theory and Related Fields 173 (2019) 293–373.
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O.H. Ajanki, L. Erdös, T.H. Krüger, Probability Theory and Related Fields 173 (2019) 293–373.
2019 | Published | 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 | 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.