How much can the eigenvalues of a random Hermitian matrix fluctuate?-Reference-Cited by-同舟云学术

How much can the eigenvalues of a random Hermitian matrix fluctuate?

Published:2021-06-15 Issue:9 Volume:170 Page:
ISSN:0012-7094
Container-title:Duke Mathematical Journal
language:
Short-container-title:Duke Math. J.

Author:

Claeys T.¹,Fahs B.²,Lambert G.³,Webb C.⁴

Affiliation:

1. Louvain-La-Neuve, Belgium

2. South Kensington Campus, Imperial College London, London, UK

3. Institut für Mathematik, Universität Zurich, Zurich, Switzerland

4. Åbo Akademi, Mathematics, Turku, Finland

Publisher

Duke University Press

Subject

General Mathematics

Reference88 articles.

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2. G. W. Anderson, A. Guionnet, and O. Zeitouni, An Introduction to Random Matrices, Cambridge Stud. Adv. Math. 118, Cambridge Univ. Press, Cambridge, 2010.

3. L.-P. Arguin, D. Belius, and P. Bourgade, Maximum of the characteristic polynomial of random unitary matrices, Comm. Math. Phys. 349 (2017), no. 2, 703–751.

4. K. Astala, P. Jones, A. Kupiainen, and E. Saksman, Random conformal weldings, Acta Math. 207 (2011), no. 2, 203–254.

5. G. Ben Arous and P. Bourgade, Extreme gaps between eigenvalues of random matrices, Ann. Probab. 41 (2013), no. 4, 2648–2681.

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