Noise sensitivity for the top eigenvector of a sparse random matrix-Reference-Cited by-同舟云学术

Noise sensitivity for the top eigenvector of a sparse random matrix

Published:2022-01-01 Issue:none Volume:27 Page:
ISSN:1083-6489
Container-title:Electronic Journal of Probability
language:
Short-container-title:Electron. J. Probab.

Author:

Bordenave Charles¹,Lee Jaehun²

Affiliation:

1. Institut de Mathématiques de Marseille; CNRS; Aix-Marseille Université, France

2. Department of Mathematical Sciences, KAIST, Republic of Korea

Publisher

Institute of Mathematical Statistics

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference25 articles.

1. Florent Benaych-Georges, Charles Bordenave, and Antti Knowles, Largest eigenvalues of sparse inhomogeneous Erdős-Rényi graphs, Ann. Probab. 47 (2019), no. 3, 1653–1676.

2. Florent Benaych-Georges and Antti Knowles, Local semicircle law for Wigner matrices, Advanced topics in random matrices, Panor. Synthèses, vol. 53, Soc. Math. France, Paris, 2017, pp. 1–90.

3. Itai Benjamini, Gil Kalai, and Oded Schramm, Noise sensitivity of Boolean functions and applications to percolation, Inst. Hautes Études Sci. Publ. Math. 90 (1999), 5–43 (2001).

4. Charles Bordenave, Gábor Lugosi, and Nikita Zhivotovskiy, Noise sensitivity of the top eigenvector of a Wigner matrix, Probab. Theory Related Fields 177 (2020), no. 3-4, 1103–1135.

5. Paul Bourgade, Jiaoyang Huang, and Horng-Tzer Yau, Eigenvector statistics of sparse random matrices, Electron. J. Probab. 22 (2017), no. 64, 38.

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