Random matrices, universality and disordered quantum systems

Project Period: 2014-03-01 – 2019-08-31
Funding Organisation: EC/FP7
Acronym
RANMAT
Principal Investigator
Department(s)
Erdoes Group
Grant Number
338804
Funding Organisation
EC/FP7

52 Publications

2023 | Published | Journal Article | IST-REx-ID: 10405 | OA
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.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2021 | Published | Journal Article | IST-REx-ID: 8601 | OA
Edge universality for non-Hermitian random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields (2021).
[Published Version] View | Files available | DOI | WoS | arXiv
 
2021 | Published | Thesis | IST-REx-ID: 9022 | OA
Fluctuations in the spectrum of random matrices
G. Cipolloni, Fluctuations in the Spectrum of Random Matrices, Institute of Science and Technology Austria, 2021.
[Published Version] View | Files available | DOI
 
2021 | Published | Journal Article | IST-REx-ID: 15013 | OA
Spectral radius of random matrices with independent entries
J. Alt, L. Erdös, T.H. Krüger, Probability and Mathematical Physics 2 (2021) 221–280.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2021 | Published | Journal Article | IST-REx-ID: 9550 | OA
Equipartition principle for Wigner matrices
Z. Bao, L. Erdös, K. Schnelli, Forum of Mathematics, Sigma 9 (2021).
[Published Version] View | Files available | DOI | WoS | arXiv
 
2021 | Published | Journal Article | IST-REx-ID: 9912 | OA
Scattering in quantum dots via noncommutative rational functions
L. Erdös, T.H. Krüger, Y. Nemish, Annales Henri Poincaré 22 (2021) 4205–4269.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2020 | Published | Journal Article | IST-REx-ID: 9104 | OA
On the support of the free additive convolution
Z. Bao, L. Erdös, K. Schnelli, Journal d’Analyse Mathematique 142 (2020) 323–348.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2020 | Published | Journal Article | IST-REx-ID: 6184 | OA
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.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
2020 | Published | Journal Article | IST-REx-ID: 6185 | OA
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.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2020 | Published | Journal Article | IST-REx-ID: 6488 | OA
Fluctuations for differences of linear eigenvalue statistics for sample covariance matrices
G. Cipolloni, L. Erdös, Random Matrices: Theory and Application 9 (2020).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2020 | Published | Journal Article | IST-REx-ID: 7512 | OA
Local laws for polynomials of Wigner matrices
L. Erdös, T.H. Krüger, Y. Nemish, Journal of Functional Analysis 278 (2020).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2020 | Published | Journal Article | IST-REx-ID: 15063 | OA
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.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2020 | Published | Journal Article | IST-REx-ID: 10862 | OA
Spectral rigidity for addition of random matrices at the regular edge
Z. Bao, L. Erdös, K. Schnelli, Journal of Functional Analysis 279 (2020).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2019 | Published | Journal Article | IST-REx-ID: 429 | OA
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.
[Published Version] View | Files available | DOI | WoS
 
2019 | Published | Conference Paper | IST-REx-ID: 8175 | OA
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.
[Preprint] View | Download Preprint (ext.) | arXiv
 
2019 | Published | Thesis | IST-REx-ID: 6179 | OA
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.
[Published Version] View | Files available | DOI
 
2019 | Published | Journal Article | IST-REx-ID: 6182 | OA
Random matrices with slow correlation decay
L. Erdös, T.H. Krüger, D.J. Schröder, Forum of Mathematics, Sigma 7 (2019).
[Published Version] View | Files available | DOI | WoS | arXiv
 
2019 | Published | Journal Article | IST-REx-ID: 6186 | OA
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.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2019 | Published | Journal Article | IST-REx-ID: 6240 | OA
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.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
2019 | Published | Journal Article | IST-REx-ID: 6511 | OA
Local single ring theorem on optimal scale
Z. Bao, L. Erdös, K. Schnelli, Annals of Probability 47 (2019) 1270–1334.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

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