Spectral Statistics of Structured Random Matrices

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

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

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

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