Random matrices, universality and disordered quantum systems
Project Period: 2014-03-01 – 2019-08-31
Externally Funded
Acronym
RANMAT
Principal Investigator
László Erdös
Department(s)
Erdoes Group
Grant Number
338804
Funder
EC/FP7
52 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: 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: 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| 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: 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| 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
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 |Published| 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.
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: 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 |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.
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.
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G. Cipolloni, L. Erdös, D.J. Schröder, Probability and Mathematical Physics 1 (2020) 101–146.
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: 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: 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 |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.
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: 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.