Spectral Statistics of Structured Random Matrices

Project Information

RandMat

Grant agreement ID: 715539

DOI

10.3030/715539

Project closed

EC signature date 12 December 2016

Start date 1 January 2017

End date 30 September 2022

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 257 442,00

EU contribution

€ 1 257 442,00

Coordinated by

UNIVERSITE DE GENEVE
Switzerland

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (10)

Delocalization transition for critical Erd\H{o}s-R\'enyi graphs

Author(s): Alt, Johannes; Ducatez, Raphael; Knowles, Antti
Published in: Communications in Mathematical Physics, Issue 1, 2021, ISSN 0010-3616
Publisher: Springer Verlag

Inhomogeneous circular law for correlated matrices

Author(s): Johannes Alt, Torben Krüger
Published in: Journal of Functional Analysis, Issue 281/7, 2021, Page(s) 109120, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.1016/j.jfa.2021.109120

Spectral radius of random matrices with independent entries

Author(s): Johannes Alt, László Erdős, Torben Krüger
Published in: Probability and Mathematical Physics, Issue 2/2, 2021, Page(s) 1-60, ISSN 2690-1005
Publisher: N/A
DOI: 10.2140/pmp.2021.2.1

Edge rigidity and universality of random regular graphs of intermediate degree

Author(s): Roland Bauerschmidt; Jiaoyang Huang; Antti Knowles; Horng-Tzer Yau
Published in: Geometric and Functional Analysis, Issue 1, 2021, ISSN 1016-443X
Publisher: Birkhauser Verlag
DOI: 10.17863/cam.56484

Poisson statistics and localization at the spectral edge of sparse Erd\H{o}s-R\'enyi graphs

Author(s): Alt, Johannes; Ducatez, Raphael; Knowles, Antti
Published in: Annals of Probability, Issue 4, 2023, ISSN 0091-1798
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/22-aop1596

Largest eigenvalues of sparse inhomogeneous Erdős–Rényi graphs

Author(s): Florent Benaych-Georges, Charles Bordenave, Antti Knowles
Published in: The Annals of Probability, Issue 47/3, 2019, Page(s) 1653-1676, ISSN 0091-1798
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/18-aop1293

Mesoscopic Linear Statistics of Wigner Matrices of Mixed Symmetry Class

Author(s): Yukun He
Published in: Journal of Statistical Physics, Issue 175/5, 2019, Page(s) 932-959, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-019-02266-8

Local law and complete eigenvector delocalization for supercritical Erdős–Rényi graphs

Author(s): Yukun He, Antti Knowles, Matteo Marcozzi
Published in: The Annals of Probability, Issue 47/5, 2019, Page(s) 3278-3302, ISSN 0091-1798
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/19-aop1339

The completely delocalized region of the Erd\H{o}s-R\'enyi graph

Author(s): Alt, Johannes; Ducatez, Raphael; Knowles, Antti
Published in: Electronic Communications in Probability, Issue 5, 2022, ISSN 1083-589X
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/22-ecp450

Fluctuations of extreme eigenvalues of sparse Erd\H{o}s-R\'enyi graphs

Author(s): He, Yukun; Knowles, Antti
Published in: Probability Theory and Related Fields, Issue 1, 2021, ISSN 0178-8051
Publisher: Springer Verlag

Other (4)

Spectral radii of sparse random matrices

Author(s): Florent Benaych-Georges, Charles Bordenave, Antti Knowles
Published in: 2017
Publisher: arxiv

Bulk eigenvalue fluctuations of sparse random matrices

Author(s): Yukun He
Published in: 2019
Publisher: arxiv

Extremal eigenvalues of critical Erdős-Rényi graphs

Author(s): Johannes Alt, Raphael Ducatez, Antti Knowles
Published in: 2019
Publisher: arxiv

Edge rigidity and universality of random regular graphs of intermediate degree

Author(s): Roland Bauerschmidt, Jiaoyang Huang, Antti Knowles, Horng-Tzer Yau
Published in: 2019
Publisher: arxiv

Non-peer reviewed articles (2)

Diffusion Profile for Random Band Matrices: A Short Proof

Author(s): Yukun He, Matteo Marcozzi
Published in: Journal of Statistical Physics, Issue 177/4, 2019, Page(s) 666-716, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-019-02385-2

Mesoscopic eigenvalue density correlations of Wigner matrices

Author(s): Yukun He, Antti Knowles
Published in: Probability Theory and Related Fields, 2019, ISSN 0178-8051
Publisher: Springer Verlag
DOI: 10.1007/s00440-019-00946-w